Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493423 | Journal of Algebra | 2005 | 22 Pages |
Abstract
We define and study the class of Whittaker modules for the quantum enveloping algebra Uq(sl2) of sl2. One of our main results describes an arbitrary Whittaker module as a quotient of Uq(sl2). From this description, we determine precise criteria for when a Whittaker module is simple as well as a decomposition of an arbitrary Whittaker module into indecomposable submodules. We also prove that the annihilator annUq(sl2)(V) of a Whittaker module V is generated by its intersection with the center of Uq(sl2). This is the analogue of a classical result in the Lie algebra setting due to Kostant.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Matthew Ondrus,