Construction of Cocycle Bicrossproducts by Twisting
Quantum Algebra
2012-02-08 v3 Mathematical Physics
math.MP
Abstract
We consider a generalisation of the Majid's mirror product of a Hopf algebra H, when one of the components of the product is replaced by a twist. This leads to a new "twisted mirror product" construction for cocycle bicrossproduct Hopf algebra where c is a 2-cocycle of "twisting" type. As an application, we obtain a canonical cocycle bicrossproduct for any Hopf algebra H.
Cite
@article{arxiv.math/0211337,
title = {Construction of Cocycle Bicrossproducts by Twisting},
author = {G. Bogdanoff and I. Bogdanoff},
journal= {arXiv preprint arXiv:math/0211337},
year = {2012}
}
Comments
9 pages