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Comments on Bosonisation and Biproducts

1995/04/13 by Shahn Majid, S. Majid, Majid, S.
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Surfactants and Colloidal Systems #Theoretical and Computational Physics #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9504007

16 pages, LATEX, 1.5 figures

arxiv created 1995/04/13 · openalex publication_date 1995/04/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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