Identities of Group Algebras |
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| Authors: | S K Sehgal M V Zaicev |
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| Institution: | 1. Department of Mathematical and Statistical Sciences , University of Alberta , Edmonton, Alberta, Canada S.Sehgal@ualberta.ca;3. Department of Algebra, Faculty of Mathematics and Mechanics , Moscow State University , Moscow, Russia |
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| Abstract: | We consider polynomial identities of group algebras over a field F of characteristic zero. We prove that any PI group algebra satisfies the same identities as a matrix algebra M n (F ), where n is the maximal degree of finite dimensional representations of the group over algebraic extensions of F. |
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| Keywords: | Group algebras Polynomial identities |
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