Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/326016
Type: Artigo
Title: Elementary Gradings On The Lie Algebra Utn(-)
Elementary gradings on the Lie algebra Utn(−)
Author: Koshlukov, Plamen
Yukihide, Felipe
Abstract: The algebras UTn(K) of the upper triangular matrices over a field K are of significant importance in the theory of algebras with polynomial identities. Group gradings on algebras appear in various areas and provide an indispensable tool in the study of the algebraic and combinatorial properties of the algebras in question. In this paper we consider the Lie algebra UTn(K)((-)) of all upper triangular matrices of order n. We study the group gradings on this algebra. It turns out that the gradings on the Lie algebra UTn(K) are much more intricate than those in the associative case. In this paper we describe the elementary gradings on the Lie algebra UTn(K)((-)). Finally we study the canonical grading on UTn(K)((-)) by the cyclic group Z(n) of order n. We produce a (finite) basis of the graded polynomial identities satisfied by this grading. (C) 2016 Elsevier Inc. All rights reserved.
The algebras UTn(K) of the upper triangular matrices over a field K are of significant importance in the theory of algebras with polynomial identities. Group gradings on algebras appear in various areas and provide an indispensable tool in the study of th
Subject: Graded Polynomial Identities
Upper Triangular Matrices
Graded Lie Algebras
Lie, Álgebra de
Matrizes triangulares superiores
Identidades polinomiais graduadas
Country: Estados Unidos
Editor: Elsevier
Citation: Journal Of Algebra. Academic Press Inc Elsevier Science, v. 473, p. 66 - 79, 2017.
Rights: fechado
fechado
Identifier DOI: 10.1016/j.jalgebra.2016.10.028
Address: https://www.sciencedirect.com/science/article/pii/S0021869316304070
Date Issue: 2017
Appears in Collections:IMECC - Artigos e Outros Documentos

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