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arXiv · 1007.0133

A quantum analogue of Kostant's theorem for the general linear group

Avraham Aizenbud·Oded Yacobi
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Abstract

A fundamental result in representation theory is Kostant's theorem which describes the algebra of polynomials on a reductive Lie algebra as a module over its invariants. We prove a quantum analogue of this theorem for the general linear group, and from this deduce the analogous result for reflection equation algebras.

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Avraham Aizenbud, Oded Yacobi. 2010-07-01. A quantum analogue of Kostant's theorem for the general linear group. https://arxiv.org/abs/1007.0133

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