Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$
Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Ammar, Mabrouk Ben [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Indian National Science Academy 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Indian journal of pure and applied mathematics - New Delhi : Acad., 1970, 52(2021), 4 vom: 12. Juli, Seite 1263-1275 |
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| Übergeordnetes Werk: |
volume:52 ; year:2021 ; number:4 ; day:12 ; month:07 ; pages:1263-1275 |
| Links: |
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| DOI / URN: |
10.1007/s13226-021-00012-z |
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| Katalog-ID: |
SPR050388126 |
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| 100 | 1 | |a Ammar, Mabrouk Ben |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ |
| 264 | 1 | |c 2021 | |
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| 500 | |a © The Indian National Science Academy 2021 | ||
| 520 | |a Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. | ||
| 650 | 4 | |a Cohomology |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Weighted Densities |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Sidaoui, Rabeb |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Indian journal of pure and applied mathematics |d New Delhi : Acad., 1970 |g 52(2021), 4 vom: 12. Juli, Seite 1263-1275 |w (DE-627)558697410 |w (DE-600)2410736-0 |x 0975-7465 |7 nnns |
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| 856 | 4 | 0 | |u https://dx.doi.org/10.1007/s13226-021-00012-z |z lizenzpflichtig |3 Volltext |
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| 912 | |a GBV_ILN_2034 | ||
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| 952 | |d 52 |j 2021 |e 4 |b 12 |c 07 |h 1263-1275 | ||
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10.1007/s13226-021-00012-z doi (DE-627)SPR050388126 (SPR)s13226-021-00012-z-e DE-627 ger DE-627 rakwb eng Ammar, Mabrouk Ben verfasserin aut Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Indian National Science Academy 2021 Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 Sidaoui, Rabeb aut Enthalten in Indian journal of pure and applied mathematics New Delhi : Acad., 1970 52(2021), 4 vom: 12. Juli, Seite 1263-1275 (DE-627)558697410 (DE-600)2410736-0 0975-7465 nnns volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 https://dx.doi.org/10.1007/s13226-021-00012-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 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_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_2118 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 52 2021 4 12 07 1263-1275 |
| spelling |
10.1007/s13226-021-00012-z doi (DE-627)SPR050388126 (SPR)s13226-021-00012-z-e DE-627 ger DE-627 rakwb eng Ammar, Mabrouk Ben verfasserin aut Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Indian National Science Academy 2021 Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 Sidaoui, Rabeb aut Enthalten in Indian journal of pure and applied mathematics New Delhi : Acad., 1970 52(2021), 4 vom: 12. Juli, Seite 1263-1275 (DE-627)558697410 (DE-600)2410736-0 0975-7465 nnns volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 https://dx.doi.org/10.1007/s13226-021-00012-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 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_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_2118 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 52 2021 4 12 07 1263-1275 |
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10.1007/s13226-021-00012-z doi (DE-627)SPR050388126 (SPR)s13226-021-00012-z-e DE-627 ger DE-627 rakwb eng Ammar, Mabrouk Ben verfasserin aut Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Indian National Science Academy 2021 Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 Sidaoui, Rabeb aut Enthalten in Indian journal of pure and applied mathematics New Delhi : Acad., 1970 52(2021), 4 vom: 12. Juli, Seite 1263-1275 (DE-627)558697410 (DE-600)2410736-0 0975-7465 nnns volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 https://dx.doi.org/10.1007/s13226-021-00012-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 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_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_2118 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 52 2021 4 12 07 1263-1275 |
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10.1007/s13226-021-00012-z doi (DE-627)SPR050388126 (SPR)s13226-021-00012-z-e DE-627 ger DE-627 rakwb eng Ammar, Mabrouk Ben verfasserin aut Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Indian National Science Academy 2021 Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 Sidaoui, Rabeb aut Enthalten in Indian journal of pure and applied mathematics New Delhi : Acad., 1970 52(2021), 4 vom: 12. Juli, Seite 1263-1275 (DE-627)558697410 (DE-600)2410736-0 0975-7465 nnns volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 https://dx.doi.org/10.1007/s13226-021-00012-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 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_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_2118 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 52 2021 4 12 07 1263-1275 |
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10.1007/s13226-021-00012-z doi (DE-627)SPR050388126 (SPR)s13226-021-00012-z-e DE-627 ger DE-627 rakwb eng Ammar, Mabrouk Ben verfasserin aut Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Indian National Science Academy 2021 Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 Sidaoui, Rabeb aut Enthalten in Indian journal of pure and applied mathematics New Delhi : Acad., 1970 52(2021), 4 vom: 12. Juli, Seite 1263-1275 (DE-627)558697410 (DE-600)2410736-0 0975-7465 nnns volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 https://dx.doi.org/10.1007/s13226-021-00012-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER 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_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_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_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 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_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_2118 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_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 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_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 52 2021 4 12 07 1263-1275 |
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Enthalten in Indian journal of pure and applied mathematics 52(2021), 4 vom: 12. Juli, Seite 1263-1275 volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 |
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Enthalten in Indian journal of pure and applied mathematics 52(2021), 4 vom: 12. Juli, Seite 1263-1275 volume:52 year:2021 number:4 day:12 month:07 pages:1263-1275 |
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Indian journal of pure and applied mathematics |
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Ammar, Mabrouk Ben @@aut@@ Sidaoui, Rabeb @@aut@@ |
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Ammar, Mabrouk Ben |
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Ammar, Mabrouk Ben misc Cohomology misc Weighted Densities Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ |
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Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ Cohomology (dpeaa)DE-He213 Weighted Densities (dpeaa)DE-He213 |
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Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ |
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cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {r}}%$ |
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Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ |
| abstract |
Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. © The Indian National Science Academy 2021 |
| abstractGer |
Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. © The Indian National Science Academy 2021 |
| abstract_unstemmed |
Abstract We consider the spaces %${\mathcal {F}}_\mu%$ of polynomial %$\mu%$-densities on the line as %${\mathfrak {sl}}(2)%$-modules and then we compute the cohomological spaces %$\text {H}^1_\text {diff}({\mathfrak {sl}}(2), {\mathcal {D}}_{{\bar{\lambda }},\mu })%$, where %$\mu \in {\mathbb {R}}%$, %${\bar{\lambda }}=(\lambda _1,\dots ,\lambda _n) \in {\mathbb {R}}^n%$ and %${\mathcal {D}}_{{\bar{\lambda }},\mu }%$ is the space of n-ary differential operators from %${\mathcal {F}}_{\lambda _1}\otimes \cdots \otimes {\mathcal {F}}_{\lambda _n}%$ to %${\mathcal {F}}_\mu%$. © The Indian National Science Academy 2021 |
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Cohomology of %${\mathfrak {sl}}(2)%$ acting on the space of n-ary differential operators on %${\mathbb {R}}%$ |
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https://dx.doi.org/10.1007/s13226-021-00012-z |
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