Complete reducibility theorems for modules over pointed Hopf algebras
Quantum Algebra
2011-01-28 v2 Rings and Algebras
Representation Theory
Abstract
We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category.
Cite
@article{arxiv.1001.3977,
title = {Complete reducibility theorems for modules over pointed Hopf algebras},
author = {Nicolás Andruskiewitsch and David Radford and Hans-Jürgen Schneider},
journal= {arXiv preprint arXiv:1001.3977},
year = {2011}
}
Comments
44 pages