Graded polynomial identities for the upper triangular matrix algebra over a finite field

Goncalves, Dimas Jose; Riva, Evandro

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

Graded polynomial identities for the upper triangular matrix algebra over a finite field

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Author(s):	Goncalves, Dimas Jose ^[1] ; Riva, Evandro ^[1] Total Authors: 2
Affiliation:	^[1] Univ Fed Sao Carlos UFSCar, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Algebra; v. 559, p. 625-645, OCT 1 2020.
Web of Science Citations:	0
Abstract
Let K be a finite field and let UTn (K) be the algebra of n x n upper triangular matrices over K. In this paper we describe the set of all G-graded polynomial identities of UTn (K), where G is any group. Moreover, we describe a linear basis for the corresponding relatively free graded algebra. (C) 2020 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:	Ivan Chestakov
Support Opportunities:	Research Projects - Thematic Grants

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