Frobenius Divisibility and Hopf Centers

Adam Jacoby

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arXiv · 1704.04256

Frobenius Divisibility and Hopf Centers

Adam Jacoby

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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 $G/\mathscr{Z} G$, where $\mathscr{Z} G$ is the center $G$. This note discusses similar divisibility results for certain classes of Hopf algebras.

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Adam Jacoby. 2017-04-17. Frobenius Divisibility and Hopf Centers. https://arxiv.org/abs/1704.04256

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