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A quantum analogue of Kostantʼs theorem for the general linear group
- Source :
-
Journal of Algebra . Oct2011, Vol. 343 Issue 1, p183-194. 12p. - Publication Year :
- 2011
-
Abstract
- Abstract: A fundamental result in representation theory is Kostantʼs 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 343
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 64477846
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2011.07.004