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Construction of Cocycle Bicrossproducts by Twisting

2002/11/21 by Grichka Bogdanoff, Bogdanoff, G., Igor Bogdanoff +1
Chemistry · Materials Science · #Advanced Physical and Chemical Molecular Interactions #Dendrimers and Hyperbranched Polymers #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Organometallic Complex Synthesis and Catalysis #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0211337

openalex publication_date 2002/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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