Structure Constants of Diagonal Reduction Algebras of gl Type
We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor products of gln-modules.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147186 |
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| Zitieren: | Structure Constants of Diagonal Reduction Algebras of gl Type / S.Khoroshkin, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 10 назв. — англ. |
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Khoroshkin, S. Ogievetsky, O. 2019-02-13T18:40:38Z 2019-02-13T18:40:38Z 2011 Structure Constants of Diagonal Reduction Algebras of gl Type / S.Khoroshkin, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 10 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 16S30; 17B35 DOI:10.3842/SIGMA.2011.064 https://nasplib.isofts.kiev.ua/handle/123456789/147186 We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor products of gln-modules. We thank Lo¨ıc Poulain d’Andecy for computer calculations for the algebra Z4. We thank Elena Ogievetskaya for the help in preparation of the manuscript. The present work was partly done during visits of S.K. to CPT and CIRM in Marseille. The authors thank both Institutes. S.K. was supported by the RFBR grant 11-01-00962, joint CNRS-RFBR grant 09-01-93106-NCNIL, and by Federal Agency for Science and Innovations of Russian Federation under contract 14.740.11.347. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Structure Constants of Diagonal Reduction Algebras of gl Type Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Structure Constants of Diagonal Reduction Algebras of gl Type |
| spellingShingle |
Structure Constants of Diagonal Reduction Algebras of gl Type Khoroshkin, S. Ogievetsky, O. |
| title_short |
Structure Constants of Diagonal Reduction Algebras of gl Type |
| title_full |
Structure Constants of Diagonal Reduction Algebras of gl Type |
| title_fullStr |
Structure Constants of Diagonal Reduction Algebras of gl Type |
| title_full_unstemmed |
Structure Constants of Diagonal Reduction Algebras of gl Type |
| title_sort |
structure constants of diagonal reduction algebras of gl type |
| author |
Khoroshkin, S. Ogievetsky, O. |
| author_facet |
Khoroshkin, S. Ogievetsky, O. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gln into gln⊕gln. Its representation theory is related to the theory of decompositions of tensor products of gln-modules.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147186 |
| citation_txt |
Structure Constants of Diagonal Reduction Algebras of gl Type / S.Khoroshkin, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 10 назв. — англ. |
| work_keys_str_mv |
AT khoroshkins structureconstantsofdiagonalreductionalgebrasofgltype AT ogievetskyo structureconstantsofdiagonalreductionalgebrasofgltype |
| first_indexed |
2025-12-07T18:10:31Z |
| last_indexed |
2025-12-07T18:10:31Z |
| _version_ |
1850874036670693376 |