Integral Theory for Quasi-Hopf Algebras

Details Integral Theory for Quasi-Hopf Algebras Integral Theory for Quasi-Hopf Algebras

1999-04-29

arxiv.org/abs/math/9904164v2

Mathematics

Quantum Algebra

28 pages, amstex, formula at the end of section 6 corrected

Scientific paper

We generalize the fundamental structure Theorem on Hopf (bi)-modules by
Larson and Sweedler to quasi-Hopf algebras H. If H is finite dimensional this
proves the existence and uniqueness (up to scalar multiples) of integrals in H.
Among other applications we prove a Maschke type Theorem for diagonal crossed
products as constructed by the authors.

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