Graded polynomial Identities for matrices with the transpose involution over an infinite field

Autor(es)

Goncalves Fonseca, Luis Felipe ^[1] ; de Mello, Thiago Castilho ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Vicosa, Inst Ciencias Exatas & Tecnol, Florestal, MG - Brazil

^[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 46, n. 4, p. 1630-1640, 2018.
• Citações Web of Science: 0

Resumo

Let F be an infinite field and let M-n (F) be the algebra of n x n matrices over F endowed with an elementary grading whose neutral component coincides with the main diagonal. In this paper, we find a basis for the graded polynomial identities of M-n (F) with the transpose involution. Our results generalize for infinite fields of arbitrary characteristic previous results in the literature, which were obtained for the field of complex numbers and for a particular class of elementary G-gradings. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 14/10352-4 - Álgebras variedades e identidades
• Beneficiário: Thiago Castilho de Mello
• Modalidade de apoio: Auxílio à Pesquisa - Regular