Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586855 | Journal of Algebra | 2009 | 37 Pages |
Abstract
We study representations of nontrivial liftings of nilpotent type of quantum linear spaces and their Drinfel'd quantum doubles. We construct a family of Verma-type modules in both cases and prove a parametrization theorem for simple modules. We compute the Loewy and socle series of Verma modules under a mild restriction on the datum of a lifting. We find bases and dimensions of simple modules.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory