Construction of Cocycle Bicrossproducts by Twisting

Details Construction of Cocycle Bicrossproducts by Twisting Construction of Cocycle Bicrossproducts by Twisting

2002-11-21

arxiv.org/abs/math/0211337v3

Mathematics

Quantum Algebra

9 pages

Scientific paper

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.

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