Locally finite simple weight modules over twisted generalized Weyl algebras

Details Locally finite simple weight modules over twisted generalized Weyl algebras Locally finite simple weight modules over twisted generalized Weyl algebras

2005-02-16

arxiv.org/abs/math/0502352v3

Journal of Algebra, 303 Issue 1 (2006), 42-76

Mathematics

Representation Theory

28 pages

Scientific paper

10.1016/j.jalgebra.2006.05.036

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.

Affiliated with

Also associated with

No associations

Rating

Locally finite simple weight modules over twisted generalized Weyl algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Locally finite simple weight modules over twisted generalized Weyl algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Locally finite simple weight modules over twisted generalized Weyl algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84161