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Frobenius Divisibility and Hopf Centers

2017/04/13 by Adam Jacoby, Jacoby, Adam
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1704.04256

openalex publication_date 2017/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A classical theorem of I. Schur states that the degree of any irreducible complex representation of a finite group G divides the order of G/\mathscrZ G, where \mathscrZ G is the center G. This note discusses similar divisibility results for certain classes of Hopf algebras.

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