A trace-like invariant for representations of Hopf algebras

Details A trace-like invariant for representations of Hopf algebras A trace-like invariant for representations of Hopf algebras

2009-10-29

arxiv.org/abs/0910.5566v1

Mathematics

Quantum Algebra

12 pages

Scientific paper

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.

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