Structure Constants of Diagonal Reduction Algebras of gl Type

Symmetry Integrability and Geometry-Methods and Applications

article

Sergei Khoroshkin¹  Oleg Ogievetsky³ 

[1] Institute of Theoretical and Experimental Physics;Higher School of Economics;J.-V. Poncelet French-Russian Laboratory, Independent University of Moscow;Centre de Physique Théorique;On leave of absence from P.N. Lebedev Physical Institute, Theoretical Department

关键词: reduction algebra;    extremal projector;    Zhelobenko operators;   

DOI  :  10.3842/SIGMA.2011.064

来源: National Academy of Science of Ukraine

【 摘 要 】

We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra gl n into gl n ⊕gl n . Its representation theory is related to the theory of decompositions of tensor products of gl n -modules.

【 授权许可】

Unknown