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Structure Constants of Diagonal Reduction Algebras of gl Type
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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Structure Constants of Diagonal Reduction Algebras of gl Type
Інший ID:
2010 Mathematics Subject Classification: 16S30; 17B35
DOI:10.3842/SIGMA.2011.064
DOI:10.3842/SIGMA.2011.064
Посилання:
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.
Підтримка:
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.
Дата:
2011
Переглядів:
487
Завантажень:
240
Анотація:
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.
