Construction of Cocycle Bicrossproducts by Twisting
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 2cocycle of "twisting" type. As an application, we obtain a canonical cocycle bicrossproduct for any Hopf algebra H.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2002
 arXiv:
 arXiv:math/0211337
 Bibcode:
 2002math.....11337B
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematical Physics
 EPrint:
 9 pages