Braided Hopf algebras arising from matched pairs of groups
Quantum Algebra
2007-06-13 v2
Abstract
Let k be a field. Let also (F, G) be a matched pair of groups. We give necessary and sufficient conditions on a pair (\sigma, \tau) of 2-cocycles in order that the crossed product algebra and the crossed coproduct coalgebra k^G{}^{\tau}#_{\sigma} kF combine into a braided Hopf algebra. We also discuss diagonal realizations of such braided Hopf algebras in the category of Yetter-Drinfeld modules over a finite group.
Keywords
Cite
@article{arxiv.math/0209210,
title = {Braided Hopf algebras arising from matched pairs of groups},
author = {Nicolas Andruskiewitsch and Sonia Natale},
journal= {arXiv preprint arXiv:math/0209210},
year = {2007}
}
Comments
25 pages, to appear in J. of Pure and Applied Algebra, appendix added at the end of the paper by suggestion of the referee