Diagonal reduction algebras of $\gl$ type

Details Diagonal reduction algebras of $\gl$ type Diagonal reduction algebras of $\gl$ type

2009-12-20

arxiv.org/abs/0912.4055v1

Mathematics

Representation Theory

24 pages, no figures

Scientific paper

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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