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On the graded central polynomials for elementary gradings in matrix algebras

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Abstract

Let \(F\) be a field of characteristic zero. Let \(M_{n}(F)\) be the algebra of all \(n \times n\) matrices over \(F\). We have found, in this article, a generating set for the graded central polynomials of \(M_{n}(F)\) when it is equipped with an elementary grading whose neutral component coincides with the diagonal.

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Acknowledgments

I thank the referee for his/her useful remarks and suggestions. In special, I thank Ana Cristina Vieira, Viviane Ribeiro Tomaz da Silva and Sandra Mara Jorge for their friendly advices and the encouragement in a difficult moment in my doctorship

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  1. Departamento de Matemática, UnB, 70910-900 , Brasília, Brasil

    Luís Felipe Gonçalves Fonseca

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  1. Luís Felipe Gonçalves Fonseca
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Correspondence to Luís Felipe Gonçalves Fonseca.

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Supported by CNPq.

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Fonseca, L.F.G. On the graded central polynomials for elementary gradings in matrix algebras. Rend. Circ. Mat. Palermo 62, 237–244 (2013). https://doi.org/10.1007/s12215-013-0118-6

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  • DOI: https://doi.org/10.1007/s12215-013-0118-6

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