Simplicity of the Lie algebra of skew symmetric elements of a Leavitt path algebra

2013/04/06 by Adel Alahmedi, Hamed Alsulami, Alahmedi, Adel +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1304.2385

8 pages, 6 figures. arXiv admin note: text overlap with arXiv:1304.1922

arxiv created 2014/08/06 · arxiv updated 2014/08/08

Abstract

For a field F of characteristic not 2 and a directed row-finite graph Γ let L(Γ) be the Leavitt path algebra with the standard involution *. We study the Lie algebra K=K(L(Γ),*) of *-skew-symmetric elements and find necessary and sufficient conditions for the Lie algebra [K,K] to be simple.

Citations

• On the simplicity of Lie algebra of Leavitt path algebra

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