A trace-like invariant for representations of Hopf algebras

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.

12 pages

References in corpus (1)

• Central Invariants and Frobenius-Schur Indicators for Semisimple Quasi-Hopf Algebras

Cited by in corpus (1)

• Trace-like invariant for representations of nilpotent liftings of quantum planes