On the first Hochschild cohomology of admissible algebras
On the first Hochschild cohomology of admissible algebras
复制标题
关于容许代数的第一 Hochschild 上同调
DOI：
10.1007/s11401-015-0919-3
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
D. Tan
中科院分区：
文献类型：
--
作者：
Fang Li;D. Tan
The aim of this paper is to investigate the first Hochschild cohomology of admissible algebras which can be regarded as a generalization of basic algebras. For this purpose, the authors study differential operators on an admissible algebra. Firstly, differential operators from a path algebra to its quotient algebra as an admissible algebra are discussed. Based on this discussion, the first cohomology with admissible algebras as coefficient modules is characterized, including their dimension formula. Besides, for planar quivers, thek-linear bases of the first cohomology of acyclic complete monomial algebras and acyclic truncated quiver algebras are constructed over the fieldkof characteristic 0.
