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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 |
Files in This Item:
File | Size | Format | |
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000399892600006.pdf | 1.28 MB | Adobe PDF | View/Open |
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