Some Comments on Bosonisation and Biproducts

Abstract

We collect here some less well-known results and formulae about the bosonisation construction which turns braided groups into quantum groups. We clarify the relation with biproduct Hopf algebras (the constructions are not the same), the response to twisting of braided groups and the abstract characterisation via automorphisms of the forgetful functor for the category of (co)modules of a braided group.

24p LATEX. Heavily based on an April 95 unpublished preprint

References in corpus (5)

• Quantum and Braided Linear Algebra
• q-Euclidean space and quantum group wick rotation by twisting
• Introduction to Braided Geometry and $q$-Minkowski Space
• Quantum Braided Groups
• Reconstruction of Hidden Symmetries

Cited by in corpus (2)

• An approach to categorification of some small quantum groups
• Hopfological Algebra