Diagonal reduction algebras of $\gl$ type

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 $g{l}_n$ into $g{l}_n\oplus g{l}_n$, we establish a stabilization phenomenon and list the complete sets of defining relations.

24 pages, no figures

References in corpus (1)

• Mickelsson algebras and Zhelobenko operators

Cited by in corpus (1)

• Differential Calculus on h-Deformed Spaces