Hopf Powers and Orders for Some Bismash Products
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
The Hopf order of an element of a Hopf algebra is the least such that the -th Hopf power of is trivial. For some bismash product Hopf algebras obtained from factorizable groups (including Drinfeld doubles of some groups) we compute the dimensions of the spaces of elements with trivial -th Hopf powers, and determine which Hopf orders of elements are possible. We discuss the behavior under twists and duality.
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Cite
@article{arxiv.math/0405408,
title = {Hopf Powers and Orders for Some Bismash Products},
author = {Rachel Landers and Susan Montgomery and Peter Schauenburg},
journal= {arXiv preprint arXiv:math/0405408},
year = {2007}
}
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28 pages