Cross Product Bialgebras - Part II
量子代数
2009-09-25 v2 范畴论
环与代数
摘要
This is the central article of a series of three papers on cross product bialgebras. We present a universal theory of bialgebra factorizations (or cross product bialgebras) with cocycles and dual cocycles. We also provide an equivalent (co-)modular co-cyclic formulation. All known examples as for instance bi- or smash, doublecross and bicross product bialgebras as well as double biproduct bialgebras and bicrossed or cocycle bicross product bialgebras are now united within a single theory. Furthermore our construction yields various novel types of cross product bialgebras.
引用
@article{arxiv.math/9904142,
title = {Cross Product Bialgebras - Part II},
author = {Yuri Bespalov and Bernhard Drabant},
journal= {arXiv preprint arXiv:math/9904142},
year = {2009}
}
备注
52 pages, LaTeX. Modified proof of the central theorem and updated references included. Accepted for publication in Journal of Algebra