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|Title:||Standard Polynomials And Matrices With Superinvolutions|
|Abstract:||Let M-n(F) be the algebra of n x n matrices over a field F of characteristic zero. The superinvolutions * on M-n(F) were classified by Racine in . They are of two types, the transpose and the orthosymplectic superinvolution. This paper is devoted to the study of *-polynomial identities satisfied by M-n(F). The goal is twofold. On one hand, we determine the minimal degree of a standard polynomial vanishing on suitable subsets of symmetric or skew-symmetric matrices for both types of superinvolutions. On the other, in case of M-2(F), we find generators of the ideal of *-identities and we compute the corresponding sequences of cocharacters and codimensions. (C) 2016 Elsevier Inc. All rights reserved.|
|Editor:||Elsevier Science INC|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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