Integral Theory for Quasi-Hopf Algebras
Quantum Algebra
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/9904164,
title = {Integral Theory for Quasi-Hopf Algebras},
author = {Frank Hausser and Florian Nill},
journal= {arXiv preprint arXiv:math/9904164},
year = {2007}
}
Comments
28 pages, amstex, formula at the end of section 6 corrected