A trace-like invariant for representations of Hopf algebras
Quantum Algebra
2009-10-30 v1 Rings and Algebras
Representation Theory
Abstract
In this paper we introduce a trace-like invariant for the irreducible representations of a finite dimensional complex Hopf algebra H. We do so by considering the trace of the map induced by the antipode S on the endomorphisms End(V) of a self-dual module V. We also compute the values of this trace for the representations of two non-semisimple Hopf algebras: u_q(sl_2) and D(H_n(q)), the Drinfeld double of the Taft algebra.
Keywords
Cite
@article{arxiv.0910.5566,
title = {A trace-like invariant for representations of Hopf algebras},
author = {Andrea Jedwab},
journal= {arXiv preprint arXiv:0910.5566},
year = {2009}
}
Comments
12 pages