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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.)

A note on cocharacter sequence of Jordan upper triangular matrix algebra

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Author(s):
Centrone, Lucio ; Martino, Fabrizio
Total Authors: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 45, n. 4, p. 1687-1695, 2017.
Web of Science Citations: 2
Abstract

Let UJ(n)(F) be the Jordan algebra of n x n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ(2)(F) and UJ(3)(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ(2)(F), where G is a finite abelian group. On the other hand, we compute the Gelfand-Kirillov dimension of the relatively free algebra of UJ(2)(F) and we give a bound for the Gelfand-Kirillov dimension of the relatively free algebra of UJ(3)(F) (AU)

FAPESP's process: 15/08961-5 - Growth of algebras with polynomial identities
Grantee:Lucio Centrone
Support type: Regular Research Grants
FAPESP's process: 13/06752-4 - Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
Grantee:Lucio Centrone
Support type: Regular Research Grants