Representations of pointed Hopf algebras and their Drinfel'd quantum doubles
Quantum Algebra
2008-04-19 v2
Abstract
We study representations of nilpotent type nontrivial liftings 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
Cite
@article{arxiv.0804.0922,
title = {Representations of pointed Hopf algebras and their Drinfel'd quantum doubles},
author = {Leonid Krop and David Radford},
journal= {arXiv preprint arXiv:0804.0922},
year = {2008}
}