Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/326251
Type: Artigo
Title: Standard Polynomials And Matrices With Superinvolutions
Author: Giambruno
Antonio; Ioppolo
Antonio; Martino
Fabrizio
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
Superinvolution
Minimal Degree
Editor: Elsevier Science INC
New York
Rights: fechado
Identifier DOI: 10.1016/j.laa.2016.04.016
Address: http://www-sciencedirect-com.ez88.periodicos.capes.gov.br/science/article/pii/S002437951630115X
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
000377826100012.pdf398.58 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.