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

Author(s) : Guo, Li , Li, Fang
Description : 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 relate these Lie algebras to the algebraic and combinatorial properties of the path algebra. Charac...
Repository : arXiv , View repository documents
Language(s) : Undetermined
Subject(s) : Mathematics - Rings and Algebras , Mathematics - Combinatorics , Mathematics - Representation Theory , 16E40, 16G20, 05E15, 05C25, 12H05, 16W25, 16S32
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Publication Date(s) : 2010-10-10