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115878 |
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|a Cuadra-Diaz, Juan
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Cuadra-Diaz, Juan
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|a Etingof, Pavel I
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|a Etingof, Pavel I
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|a Finite Dimensional Hopf Actions on Central Division Algebras
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|b Oxford University Press (OUP),
|c 2018-05-24T20:10:37Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/115878
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|a 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 dimensional Hopf algebra coacts on D defining a Hopf-Galois extension, then its PI degree is at most d². Finally, we construct Hopf-Galois actions on division algebras of twisted group algebras attached to bijective cocycles.
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|a Article
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|t International Mathematics Research Notices
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