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 2-cocycle of "twisting" type. As an application, we obtain a canonical cocycle bicrossproduct for any Hopf algebra H.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- November 2002
- arXiv:
- arXiv:math/0211337
- Bibcode:
- 2002math.....11337B
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematical Physics
- E-Print:
- 9 pages