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Coset decomposition for semisimple Hopf algebras

2007/12/11 by Sebastian Burciu, S. Burciu, Burciu, S. · 3 citations
Computer Science · Mathematics · #16W30 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16W30

paper · pdf · doi:10.48550/arxiv.0712.1719

15 pages

arxiv created 2007/12/11 · openalex publication_date 2007/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The notion of double coset for semisimple finite dimensional Hopf algebras is introduced. This is done by considering an equivalence relation on the set of irreducible characters of the dual Hopf algebra. As an application formulae for the restriction of the irreducible characters to normal Hopf subalgebras are given.

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