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