Highest Weight Vectors in Plethysms

Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors w...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kimoto, Kazufumi [verfasserIn] Lee, Soo Teck [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Übergeordnetes Werk:	Enthalten in: Communications in mathematical physics - Berlin : Springer, 1965, 378(2019), 3 vom: 04. Dez., Seite 1817-1841
Übergeordnetes Werk:	volume:378 ; year:2019 ; number:3 ; day:04 ; month:12 ; pages:1817-1841

Links:	Volltext

DOI / URN:	10.1007/s00220-019-03639-6

Katalog-ID:	SPR04100048X

Internformat


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520			\|a Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules.
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773	0	8	\|i Enthalten in \|t Communications in mathematical physics \|d Berlin : Springer, 1965 \|g 378(2019), 3 vom: 04. Dez., Seite 1817-1841 \|w (DE-627)253721628 \|w (DE-600)1458931-X \|x 1432-0916 \|7 nnns
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856	4	0	\|u https://dx.doi.org/10.1007/s00220-019-03639-6 \|z lizenzpflichtig \|3 Volltext
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_SPRINGER
912			\|a SSG-OPC-MAT
912			\|a SSG-OPC-ASE
912			\|a GBV_ILN_11
912			\|a GBV_ILN_20
912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_101
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_267
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 33.06 \|q ASE
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951			\|a AR
952			\|d 378 \|j 2019 \|e 3 \|b 04 \|c 12 \|h 1817-1841

Indexfelder

author_variant	k k kk s t l st stl
matchkey_str	article:14320916:2019----::ihswihvcos
hierarchy_sort_str	2019
bklnumber	33.06 31.80
publishDate	2019
allfields	10.1007/s00220-019-03639-6 doi (DE-627)SPR04100048X (SPR)s00220-019-03639-6-e DE-627 ger DE-627 rakwb eng 530 510 ASE 33.06 bkl 31.80 bkl Kimoto, Kazufumi verfasserin aut Highest Weight Vectors in Plethysms 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules. Lee, Soo Teck verfasserin aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 378(2019), 3 vom: 04. Dez., Seite 1817-1841 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841 https://dx.doi.org/10.1007/s00220-019-03639-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.06 ASE 31.80 ASE AR 378 2019 3 04 12 1817-1841
spelling	10.1007/s00220-019-03639-6 doi (DE-627)SPR04100048X (SPR)s00220-019-03639-6-e DE-627 ger DE-627 rakwb eng 530 510 ASE 33.06 bkl 31.80 bkl Kimoto, Kazufumi verfasserin aut Highest Weight Vectors in Plethysms 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules. Lee, Soo Teck verfasserin aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 378(2019), 3 vom: 04. Dez., Seite 1817-1841 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841 https://dx.doi.org/10.1007/s00220-019-03639-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.06 ASE 31.80 ASE AR 378 2019 3 04 12 1817-1841
allfields_unstemmed	10.1007/s00220-019-03639-6 doi (DE-627)SPR04100048X (SPR)s00220-019-03639-6-e DE-627 ger DE-627 rakwb eng 530 510 ASE 33.06 bkl 31.80 bkl Kimoto, Kazufumi verfasserin aut Highest Weight Vectors in Plethysms 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules. Lee, Soo Teck verfasserin aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 378(2019), 3 vom: 04. Dez., Seite 1817-1841 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841 https://dx.doi.org/10.1007/s00220-019-03639-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.06 ASE 31.80 ASE AR 378 2019 3 04 12 1817-1841
allfieldsGer	10.1007/s00220-019-03639-6 doi (DE-627)SPR04100048X (SPR)s00220-019-03639-6-e DE-627 ger DE-627 rakwb eng 530 510 ASE 33.06 bkl 31.80 bkl Kimoto, Kazufumi verfasserin aut Highest Weight Vectors in Plethysms 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules. Lee, Soo Teck verfasserin aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 378(2019), 3 vom: 04. Dez., Seite 1817-1841 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841 https://dx.doi.org/10.1007/s00220-019-03639-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.06 ASE 31.80 ASE AR 378 2019 3 04 12 1817-1841
allfieldsSound	10.1007/s00220-019-03639-6 doi (DE-627)SPR04100048X (SPR)s00220-019-03639-6-e DE-627 ger DE-627 rakwb eng 530 510 ASE 33.06 bkl 31.80 bkl Kimoto, Kazufumi verfasserin aut Highest Weight Vectors in Plethysms 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules. Lee, Soo Teck verfasserin aut Enthalten in Communications in mathematical physics Berlin : Springer, 1965 378(2019), 3 vom: 04. Dez., Seite 1817-1841 (DE-627)253721628 (DE-600)1458931-X 1432-0916 nnns volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841 https://dx.doi.org/10.1007/s00220-019-03639-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 33.06 ASE 31.80 ASE AR 378 2019 3 04 12 1817-1841
language	English
source	Enthalten in Communications in mathematical physics 378(2019), 3 vom: 04. Dez., Seite 1817-1841 volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841
sourceStr	Enthalten in Communications in mathematical physics 378(2019), 3 vom: 04. Dez., Seite 1817-1841 volume:378 year:2019 number:3 day:04 month:12 pages:1817-1841
format_phy_str_mv	Article
institution	findex.gbv.de
dewey-raw	530
isfreeaccess_bool	false
container_title	Communications in mathematical physics
authorswithroles_txt_mv	Kimoto, Kazufumi @@aut@@ Lee, Soo Teck @@aut@@
publishDateDaySort_date	2019-12-04T00:00:00Z
hierarchy_top_id	253721628
dewey-sort	3530
id	SPR04100048X
language_de	englisch
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author	Kimoto, Kazufumi
spellingShingle	Kimoto, Kazufumi ddc 530 bkl 33.06 bkl 31.80 Highest Weight Vectors in Plethysms
authorStr	Kimoto, Kazufumi
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topic_title	530 510 ASE 33.06 bkl 31.80 bkl Highest Weight Vectors in Plethysms
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title	Highest Weight Vectors in Plethysms
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title_full	Highest Weight Vectors in Plethysms
author_sort	Kimoto, Kazufumi
journal	Communications in mathematical physics
journalStr	Communications in mathematical physics
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author_browse	Kimoto, Kazufumi Lee, Soo Teck
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author-letter	Kimoto, Kazufumi
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author2-role	verfasserin
title_sort	highest weight vectors in plethysms
title_auth	Highest Weight Vectors in Plethysms
abstract	Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules.
abstractGer	Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules.
abstract_unstemmed	Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules.
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title_short	Highest Weight Vectors in Plethysms
url	https://dx.doi.org/10.1007/s00220-019-03639-6
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doi_str	10.1007/s00220-019-03639-6
up_date	2024-07-03T19:37:14.621Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR04100048X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220110160451.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201007s2019 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00220-019-03639-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR04100048X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00220-019-03639-6-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="a">510</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.06</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.80</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kimoto, Kazufumi</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Highest Weight Vectors in Plethysms</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We realize the %$\mathrm {GL}_n(\mathbb {C})%$-modules %$S^k(S^m(\mathbb {C}^n))%$ and %$\Lambda ^k(S^m(\mathbb {C}^n))%$ as spaces of polynomial functions on %$n\times k%$ matrices. In the case %$k=3%$, we describe explicitly all the %$\mathrm {GL}_n(\mathbb {C})%$-highest weight vectors which occur in %$S^3(S^m(\mathbb {C}^n))%$ and in %$\Lambda ^3(S^m(\mathbb {C}^n))%$ respectively. In particular, we obtain alternative formulas for the multiplicities in these modules.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lee, Soo Teck</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Communications in mathematical physics</subfield><subfield code="d">Berlin : Springer, 1965</subfield><subfield code="g">378(2019), 3 vom: 04. 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