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arxiv: 1704.04256 · v2 · pith:ZBKRNDFVnew · submitted 2017-04-13 · 🧮 math.RA

Frobenius Divisibility and Hopf Centers

classification 🧮 math.RA
keywords divisibilityhopfmathscralgebrascentercenterscertainclasses
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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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