On The Growth Of Graded Polynomial Identities Of Sl(n)

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Type:	Artigo
Title:	On The Growth Of Graded Polynomial Identities Of Sl(n) On the growth of graded polynomial identities of sl(n)
Author:	Centrone, Lucio Souza, Manuela da Silva
Abstract:	Let K be a field of characteristic 0 and L be a G-graded Lie PIalgebra where the support of L is a finite subset of G. We define the G-graded Gelfand-Kirillov dimension (GK) of L in k-variables as the GK dimension of its G-graded relatively free algebra having k homogeneous variables for each element of the support of L. We compute the G-graded GK dimension of sl(2)(K), where G is any abelian group. Then, we compute the exact value for the Zn-graded GK dimension of sl(n)(K) endowed with the Zn-grading of Vasilovsky. Let K be a field of characteristic 0 and L be a G-graded Lie PIalgebra where the support of L is a finite subset of G. We define the G-graded Gelfand-Kirillov dimension (GK) of L in k-variables as the GK dimension of its G-graded relatively free algebra h
Subject:	Graded Lie Algebras Graded Identities Growth Of Algebras Álgebras graduadas Identidades polinomiais graduadas PI-álgebras Lie, Álgebra de
Country:	Inglaterra
Editor:	Taylor & Francis
Citation:	Linear & Multilinear Algebra . Taylor & Francis Ltd, v. 65, p. 752 - 767, 2017.
Rights:	fechado fechado
Identifier DOI:	10.1080/03081087.2016.1202185
Address:	http://www.tandfonline.com/doi/abs/10.1080/03081087.2016.1202185
Date Issue:	2017
Appears in Collections:	IMECC - Artigos e Outros Documentos

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