Finite Dimensional Hopf Actions on Central Division Algebras

Let k be an algebraically closed field of characteristic zero. Let D be a division algebra of degree d over its center Z(D). Assume that k. Z(D). We show that a finite group G faithfully grades D if and only if G contains a normal abelian subgroup of index dividing d. We also prove that if a finite...

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Bibliographic Details
Main Authors: Cuadra-Diaz, Juan (Contributor), Etingof, Pavel I (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Oxford University Press (OUP), 2018-05-24T20:10:37Z.
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