On the irreducible representations of generalized quantum doubles
Quantum Algebra
2012-02-21 v1 Rings and Algebras
Representation Theory
Abstract
A description of all the irreducible representations of generalized quantum doubles associated to skew pairings of semisimple Hopf algebras is given. In particular a description of the irreducible representations of semisimple Drinfeld doubles is obtained. It is shown that the Grothendieck ring of these generalized quantum doubles have a structure similar to the rings that arise from Green functors. In order to do this we give a formula for the tensor product of any two such irreducible representations.
Keywords
Cite
@article{arxiv.1202.4315,
title = {On the irreducible representations of generalized quantum doubles},
author = {Sebastian Burciu},
journal= {arXiv preprint arXiv:1202.4315},
year = {2012}
}
Comments
31 pages, submitted