Lie Algebras of Skew-Symmetric Elements in Simple Leavitt path algebras

Nguyen Huynh Thao Nhi, Huynh Viet Khanh

Let $K$ be a field and $E$ be a graph. Let $L_K(E)$ be the Leavitt path algebra of $E$ over $K$ with the standard involution ${}^{\star }$. We investigate the set of skew-symmetric elem…