Involutory quasi-Hopf algebras

Abstract

We introduce and investigate the basic properties of an involutory (dual) quasi-Hopf algebra. We also study the representations of an involutory quasi-Hopf algebra and prove that an involutory dual quasi-Hopf algebra with non-zero integral is cosemisimple.

26 pages

References in corpus (1)

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