Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/242041
Type: Artigo
Title: Graded algebras with polynomial growth of their codimensions
Author: Koshlukov, Plamen
La Mattina, Daniela
Abstract: Let A be an algebra over a field of characteristic 0 and assume A is graded by a finite group G. We study combinatorial and asymptotic properties of the G-graded polynomial identities of A provided A is of polynomial growth of the sequence of its graded codimensions. Roughly speaking this means that the ideal of graded identities is "very large". We relate the polynomial growth of the codimensions to the module structure of the multilinear elements in the relatively free G-graded algebra in the variety generated by A. We describe the irreducible modules that can appear in the decomposition, we show that their multiplicities are eventually constant depending on the shape obtained by the corresponding multipartition after removing its first row. We relate, moreover, the polynomial growth to the colengths. Finally we describe in detail the algebras whose graded codimensions are of linear growth. (C) 2015 Elsevier Inc. All rights reserved.
Let A be an algebra over a field of characteristic 0 and assume A is graded by a finite group G. We study combinatorial and asymptotic properties of the G-graded polynomial identities of A provided A is of polynomial growth of the sequence of its graded c
Subject: Identidades polinomiais graduadas
Grupos finitos
Álgebras graduadas
Country: Estados Unidos
Editor: Elsevier
Citation: Graded Algebras With Polynomial Growth Of Their Codimensions. Academic Press Inc Elsevier Science, v. 434, p. 115-137 Jul-2015.
Rights: Fechado
Identifier DOI: 10.1016/j.jalgebra.2015.03.030
Address: http://www.sciencedirect.com/science/article/pii/S0021869315001660
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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