Finite dimensional graded simple algebras

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dc.creatorBahturin, Y. A.
dc.creatorSehgal, S. K.
dc.creatorZaicev, M. V.
dc.date2005-12-09
dc.date.accessioned2026-07-07T06:55:00Z
dc.date.available2026-07-07T06:55:00Z
dc.descriptionLet $R$ be a finite-dimensional algebra over an algebraically closed field $F$ graded by an arbitrary group $G$. We prove that $R$ is a graded division algebra if and only if it is isomorphic to a twisted group algebra of some finite subgroup of $G$. If the characteristic of $F$ is zero or ${\rm char} F$ does not divide the order of any finite subgroup of $G$ then we prove that $R$ is graded simple if and only if it is a matrix algebra over a finite-dimensional graded division algebra.
dc.identifierhttps://arxiv.org/abs/math/0512202
dc.identifierhttp://arxiv.org/abs/math/0512202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106146
dc.subjectRings and Algebras
dc.subject16W50
dc.titleFinite dimensional graded simple algebras
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