Kronecker coefficients and noncommutative super Schur functions

The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatoria...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Blasiak, Jonah [verfasserIn] Liu, Ricky Ini [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux

Übergeordnetes Werk:	Enthalten in: Journal of combinatorial theory / A - Amsterdam [u.a.] : Elsevier, 1971, 158, Seite 315-361
Übergeordnetes Werk:	volume:158 ; pages:315-361

DOI / URN:	10.1016/j.jcta.2018.02.007

Katalog-ID:	ELV001423207

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520			\|a The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux .
650		4	\|a Kronecker coefficients
650		4	\|a Noncommutative Schur functions
650		4	\|a Super Schur functions
650		4	\|a Colored tableaux
700	1		\|a Liu, Ricky Ini \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Journal of combinatorial theory / A \|d Amsterdam [u.a.] : Elsevier, 1971 \|g 158, Seite 315-361 \|h Online-Ressource \|w (DE-627)266892361 \|w (DE-600)1469152-8 \|w (DE-576)104193808 \|7 nnns
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912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
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912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
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912			\|a GBV_ILN_2112
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912			\|a GBV_ILN_2122
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912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
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912			\|a GBV_ILN_4112
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author_variant	j b jb r i l ri ril
matchkey_str	blasiakjonahliurickyini:2018----:rncecefcetadocmuaieue
hierarchy_sort_str	2018
bklnumber	31.12
publishDate	2018
allfields	10.1016/j.jcta.2018.02.007 doi (DE-627)ELV001423207 (ELSEVIER)S0097-3165(18)30022-0 DE-627 ger DE-627 rda eng 510 DE-600 31.12 bkl Blasiak, Jonah verfasserin (orcid)0000-0003-0793-9232 aut Kronecker coefficients and noncommutative super Schur functions 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux . Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux Liu, Ricky Ini verfasserin aut Enthalten in Journal of combinatorial theory / A Amsterdam [u.a.] : Elsevier, 1971 158, Seite 315-361 Online-Ressource (DE-627)266892361 (DE-600)1469152-8 (DE-576)104193808 nnns volume:158 pages:315-361 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.12 Kombinatorik Graphentheorie AR 158 315-361
spelling	10.1016/j.jcta.2018.02.007 doi (DE-627)ELV001423207 (ELSEVIER)S0097-3165(18)30022-0 DE-627 ger DE-627 rda eng 510 DE-600 31.12 bkl Blasiak, Jonah verfasserin (orcid)0000-0003-0793-9232 aut Kronecker coefficients and noncommutative super Schur functions 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux . Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux Liu, Ricky Ini verfasserin aut Enthalten in Journal of combinatorial theory / A Amsterdam [u.a.] : Elsevier, 1971 158, Seite 315-361 Online-Ressource (DE-627)266892361 (DE-600)1469152-8 (DE-576)104193808 nnns volume:158 pages:315-361 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.12 Kombinatorik Graphentheorie AR 158 315-361
allfields_unstemmed	10.1016/j.jcta.2018.02.007 doi (DE-627)ELV001423207 (ELSEVIER)S0097-3165(18)30022-0 DE-627 ger DE-627 rda eng 510 DE-600 31.12 bkl Blasiak, Jonah verfasserin (orcid)0000-0003-0793-9232 aut Kronecker coefficients and noncommutative super Schur functions 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux . Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux Liu, Ricky Ini verfasserin aut Enthalten in Journal of combinatorial theory / A Amsterdam [u.a.] : Elsevier, 1971 158, Seite 315-361 Online-Ressource (DE-627)266892361 (DE-600)1469152-8 (DE-576)104193808 nnns volume:158 pages:315-361 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.12 Kombinatorik Graphentheorie AR 158 315-361
allfieldsGer	10.1016/j.jcta.2018.02.007 doi (DE-627)ELV001423207 (ELSEVIER)S0097-3165(18)30022-0 DE-627 ger DE-627 rda eng 510 DE-600 31.12 bkl Blasiak, Jonah verfasserin (orcid)0000-0003-0793-9232 aut Kronecker coefficients and noncommutative super Schur functions 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux . Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux Liu, Ricky Ini verfasserin aut Enthalten in Journal of combinatorial theory / A Amsterdam [u.a.] : Elsevier, 1971 158, Seite 315-361 Online-Ressource (DE-627)266892361 (DE-600)1469152-8 (DE-576)104193808 nnns volume:158 pages:315-361 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.12 Kombinatorik Graphentheorie AR 158 315-361
allfieldsSound	10.1016/j.jcta.2018.02.007 doi (DE-627)ELV001423207 (ELSEVIER)S0097-3165(18)30022-0 DE-627 ger DE-627 rda eng 510 DE-600 31.12 bkl Blasiak, Jonah verfasserin (orcid)0000-0003-0793-9232 aut Kronecker coefficients and noncommutative super Schur functions 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux . Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux Liu, Ricky Ini verfasserin aut Enthalten in Journal of combinatorial theory / A Amsterdam [u.a.] : Elsevier, 1971 158, Seite 315-361 Online-Ressource (DE-627)266892361 (DE-600)1469152-8 (DE-576)104193808 nnns volume:158 pages:315-361 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.12 Kombinatorik Graphentheorie AR 158 315-361
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source	Enthalten in Journal of combinatorial theory / A 158, Seite 315-361 volume:158 pages:315-361
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author	Blasiak, Jonah
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topic_title	510 DE-600 31.12 bkl Kronecker coefficients and noncommutative super Schur functions Kronecker coefficients Noncommutative Schur functions Super Schur functions Colored tableaux
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title	Kronecker coefficients and noncommutative super Schur functions
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title_full	Kronecker coefficients and noncommutative super Schur functions
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title_sort	kronecker coefficients and noncommutative super schur functions
title_auth	Kronecker coefficients and noncommutative super Schur functions
abstract	The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux .
abstractGer	The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux .
abstract_unstemmed	The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux .
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title_short	Kronecker coefficients and noncommutative super Schur functions
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up_date	2024-07-06T21:19:32.012Z
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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">ELV001423207</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230524163714.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230428s2018 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.jcta.2018.02.007</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV001423207</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0097-3165(18)30022-0</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">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.12</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Blasiak, Jonah</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0003-0793-9232</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Kronecker coefficients and noncommutative super Schur functions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</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">The theory of noncommutative Schur functions can be used to obtain positive combinatorial formulae for the Schur expansion of various classes of symmetric functions, as shown by Fomin and Greene . We develop a theory of noncommutative super Schur functions and use it to prove a positive combinatorial rule for the Kronecker coefficients g λ μ ν where one of the partitions is a hook, recovering previous results of the two authors . This method also gives a precise connection between this rule and a heuristic for Kronecker coefficients first investigated by Lascoux .</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kronecker coefficients</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative Schur functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Super Schur functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Colored tableaux</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liu, Ricky Ini</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">Journal of combinatorial theory / A</subfield><subfield code="d">Amsterdam [u.a.] : Elsevier, 1971</subfield><subfield code="g">158, Seite 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