A quantum analogue of Kostant's theorem for the general linear group
Quantum Algebra
2012-08-31 v1 Representation Theory
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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Cite
@article{arxiv.1007.0133,
title = {A quantum analogue of Kostant's theorem for the general linear group},
author = {Avraham Aizenbud and Oded Yacobi},
journal= {arXiv preprint arXiv:1007.0133},
year = {2012}
}
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13 pages