On the growth of graded polynomial identities of sl_n

2015/06/01 by Lucio Centrone, Centrone, Lucio, Manuela da Silva Souza +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1506.00510

Abstract

Let K be a field of characteristic 0 and L be a G-graded Lie PI-algebra, where G is a finite group. We define the graded Gelfand-Kirillov dimension of L. Then we measure the growth of the Z_n-graded polynomial identities of the Lie algebra of n x n traceless matrices sl_n(K) giving an exact value of its Z_n-graded Gelfand-Kirillov dimension.

Citations

• Representability and Specht problem for G-graded algebras

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