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Type: Artigo de Periódico
Title: Standard Polynomials And Matrices With Superinvolutions
Author: Giambruno
A; Ioppolo
A; Martino
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 [12]. 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.
Subject: Polynomial Identity
Minimal Degree
Citation: Linear Algebra And Its Applications. ELSEVIER SCIENCE INC, n. 504, p. 272 - 291.
Rights: fechado
Identifier DOI: 10.1016/j.laa.2016.04.016
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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