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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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2011
Main Authors: Khoroshkin, S., Ogievetsky, O.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147186
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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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Digital Library of Periodicals of National Academy of Sciences of Ukraine