Sign in
Back
Simplicity of the Lie Algebra of Skew Symmetric Elements of a Leavitt Path Algebra
Journal article   Peer reviewed

Simplicity of the Lie Algebra of Skew Symmetric Elements of a Leavitt Path Algebra

Adel Alahmedi and Hamed Alsulami
Communications in algebra, Vol.44(7), pp.3182-3190
02/07/2016
DOI: https://doi.org/10.1080/00927872.2015.1029337

Abstract

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

Metrics

1 Record Views

Details