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arXiv · 0912.4055

Diagonal reduction algebras of $\gl$ type

Sergey Khoroshkin·Oleg Ogievetsky
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Abstract

Several general properties, concerning reduction algebras - rings of definition and algorithmic efficiency of the set of ordering relations - are discussed. For the reduction algebras, related to the diagonal embedding of the Lie algebra $gl_n$ into $gl_n \oplus gl_n$, we establish a stabilization phenomenon and list the complete sets of defining relations.

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Sergey Khoroshkin, Oleg Ogievetsky. 2009-12-20. Diagonal reduction algebras of $\gl$ type. https://arxiv.org/abs/0912.4055

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