Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formula

Li Guo, Fang Li

This article studies the Lie algebra $Diff(K\Gamma )$ of derivations on the path algebra $K\Gamma$ of a quiver $\Gamma$ and the Lie algebra on the first Hochschild cohomology group $H^1(K\Gamma )$. We r…