Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3

Full text
Author(s):
Ioppolo, Antonio [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 30, n. 4, p. 821-838, JUN 2020.
Web of Science Citations: 0
Abstract

Let A be a superalgebra with superinvolution or graded involution over a field of characteristic zero and let chi(n1, ..., n4) (A), n(1)+ ...+ n(4) = n, be the (n(1), ..., n(4))-cocharacter of A. The ({*})-colengths sequence, l(n){*}(A), n = 1, 2, ..., is the sum of the multiplicities in the decomposition of the (n(1), ..., n(4))-cocharacter chi(n1, ..., n4) (A), for all n = n(1)+...+n(4) >= 1. The main purpose of this paper is to classify the superalgebras with superinvolution with ({*})-colengths sequence bounded by three. Moreover, we shall extend to the general case, the analogous result proved by do Nascimento and Vieira in {[}Superalgebras with graded involution and star-graded colength bounded by 3, Linear Multilinear Algebra 67(10) (2019) 1999-2020] for finite-dimensional superalgebras with graded involution. (AU)

FAPESP's process: 18/17464-3 - Polynomial identities and superinvolutions
Grantee:Antonio Ioppolo
Support Opportunities: Scholarships in Brazil - Post-Doctoral