|
|||||
|
|
Representations of pointed Hopf algebras and their Drinfel'd quantum doubles |
|
| Authors: | Leonid Krop David E Radford |
| Institution: | 1. DePaul University, Department of Mathematical Sciences, 2320 N. Kenmore, Chicago, IL 60614, United States;2. University of Illinois at Chicago, Department of Mathematics, Statistics and Computer Science, 801 South Morgan Street, Chicago, IL 60607-7045, United States |
| 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. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |