Article thumbnail

LOCALLY FINITE SIMPLE WEIGHT MODULES OVER TWISTED GENERALIZED WEYL ALGEBRAS

By Jonas T. Hartwig

Abstract

Abstract. We present methods and explicit formulas for describing simple weight modules over twisted generalized Weyl algebras. When a certain commutative subalgebra is finitely generated over an algebraically closed field we obtain a classification of a class of locally finite simple weight modules as those induced from simple modules over a subalgebra isomorphic to a tensor product of noncommutative tori. As an application we describe simple weight modules over the quantized Weyl algebra. 1

Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.235.6666
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/math/0502... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.