Comments on Bosonisation and Biproducts

Abstract

We clarify the relation between the `bosonisation' construction (due to the author) which can be used to turn a Hopf algebra $B$ in the category of $H$-modules or $H$-comodules into an equivalent ordinary Hopf algebra, and a version of Radfords theorem (also due in this form to the author) which does the same for $B$ in the category of crossed $H$-modules. We also comment on reconstruction from the category of $B$-comodules.

16 pages, LATEX, 1.5 figures

References in corpus (4)

• Quantum and Braided Linear Algebra
• Introduction to Braided Geometry and $q$-Minkowski Space
• Reconstruction of Hidden Symmetries
• Solutions Of The Yang-baxter Equations From Braided-Lie Algebras And Braided Groups