Structure Constants of Diagonal Reduction Algebras of gl Type

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 integrability and geometry, methods and applications, 2011-01, Vol.7, p.064
1. Verfasser: Khoroshkin, Sergei
Format: Artikel
Sprache:eng
Schlagworte:
extremal projector
Mathematical Physics
Mathematics
Physics
reduction algebra
Representation Theory
Rings and Algebras
Zhelobenko operators
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Zusammenfassung: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
1815-0659
DOI:10.3842/SIGMA.2011.064