Invariant Differential Operators and FCR factors of Enveloping algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

If $\fg$ is a semisimple Lie algebra, we describe the prime factors of $\mcU(\fg)$ that have enough finite dimensional modules. The proof depends on some combinatorial facts about the Weyl group which may be of independent interest. We also determine, which finite dimensional $\mcU(\fg)$-modules are modules over a given prime factor. As an application we study finite dimensional modules over some rings of invariant differential operators arising from Howe duality.
15 pages, updated version

Keywords

Representation Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/125738

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409561
 http://arxiv.org/abs/math/0409561

Collections

arXiv