English

Structure constants of diagonal reduction algebras of gl type

Rings and Algebras 2011-07-13 v2 Mathematical Physics math.MP Representation Theory

Abstract

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

Keywords

Cite

@article{arxiv.1101.2647,
  title  = {Structure constants of diagonal reduction algebras of gl type},
  author = {S. Khoroshkin and O. Ogievetsky},
  journal= {arXiv preprint arXiv:1101.2647},
  year   = {2011}
}