Unitary superalgebras with graded involution or superinvolution of polynomial growth

Autor(es)

Costa, W. D. S. ^[1] ; Ioppolo, A. ^[2] ; dos Santos, R. B. ^[1] ; Vieira, A. C. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Minas Gerais, ICEx, Ave Antonio Carlos 6627, BR-31123970 Belo Horizonte, MG - Brazil

^[2] Univ Estadual Campinas, IMECC, Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 225, n. 9 SEP 2021.
• Citações Web of Science: 0

Resumo

In this paper we study associative unitary superalgebras with graded involution or superinvolution having polynomial growth of the codimension sequence. The first goal is to prove that, for this kind of algebras, the codimension sequence is a polynomial with rational coefficients. Then we shall construct several superalgebras with graded involution or superinvolution realizing the smallest and the largest value of the leading term of such a polynomial. (C) 2021 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 18/17464-3 - Identidades polinomiais e superinvoluções
• Beneficiário: Antonio Ioppolo
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado