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A note on Lie and Jordan structures of Leavitt path algebras
Published 25 Mar 2025 in math.RA | (2503.19277v1)
Abstract: Let $L_K(E)$ be the Leavitt path algebra of a directed graph $E$ over a field $K$. In this paper, we determine $E$ and $K$ for the Lie algebra $\mathbf{K}{L_K(E)}$ and the Jordan algebra $\mathbf{S}{L_K(E)}$ arising from $L_K(E)$ with respect to the standard involution to be solvable.
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