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On the degrees of irreducible representations of Hopf algebras

2000/03/01 by Martin Lorenz, Lorenz, Martin
Mathematics · Physics and Astronomy · #16G10 #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA #msc:16G10 #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0003008

AMS-LaTeX, 3 pages

arxiv created 2000/03/01 · openalex publication_date 2000/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let H denote a semisimple Hopf algebra over an algebraically closed field k of characteristic 0. We show that the degree of any irreducible representation of H whose character belongs to the center of H^* must divide the dimension of H .

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