论文标题
Lie-rinehart和Hochschild的共同学，用于差分运营商的代数
Lie-Rinehart and Hochschild cohomology for algebras of differential operators
论文作者
论文摘要
令$（s，l）$为lie-rinehart代数，这样$ l $是$ s $ projective，让$ u $成为其通用的包围代数。在本文中，我们提出了一个频谱序列，该频谱序列将$ u $的Hochschild共同体收敛，并在$ U $ -Bimodule $ m $上获得值，其第二页涉及代数的Lie-Rinehart共同体，以及Hochschild of $ s $的Hochschild Coomomology in $ m $ $ m $。在对所涉及的代数结构进行了方便的描述后，我们使用光谱序列来明确计算差分运算符代数的Hochschild共同体，切成三条线的中央布置。
Let $(S,L)$ be a Lie-Rinehart algebra such that $L$ is $S$-projective and let $U$ be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of $U$ with values on a $U$-bimodule $M$ and whose second page involves the Lie-Rinehart cohomology of the algebra and the Hochschild cohomology of $S$ with values on $M$. After giving a convenient description of the involved algebraic structures we use the spectral sequence to compute explicitly the Hochschild cohomology of the algebra of differential operators tangent to a central arrangement of three lines.
