Classification of simple modules over degenerate double Affine Hecke algebras of type A

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study a class of representations over the degenerate double affine Hecke algebra of gl_n by an algebraic method. As fundamental objects in this class, we introduce certain induced modules and study some of their properties. In particular, it is shown that these induced modules have unique simple quotient modules under certain conditions. Moreover, we show that any simple module in this class is obtained as such a simple quotient, and give a classification of all the simple modules.
25pages, AMSLaTex

Keywords

Quantum Algebra, Representation Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304474
 http://arxiv.org/abs/math/0304474

Collections

arXiv