Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A 1
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- 作者：Bo Hou ; Yanhong Guo
- 关键词：Hochschild cohomology ; reconstruction algebra ; Yoneda algebra ; 16E40 ; 16G10
- 刊名：Czechoslovak Mathematical Journal
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：65
- 期：4
- 页码：1085-1099
- 全文大小：185 KB
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Yanhong Guo (1)
1. School of Mathematics and Statistics, Henan University, No. 1, Jinming Avenue, Kaifeng, 475004, Henan, P.R.China - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Analysis
Convex and Discrete Geometry
Ordinary Differential Equations
Mathematical Modeling and IndustrialMathematics - 出版者：Springer Netherlands
- ISSN：1572-9141
文摘
The reconstruction algebra is a generalization of the preprojective algebra, and plays important roles in algebraic geometry and commutative algebra. We consider the homological property of this class of algebras by calculating the Hochschild homology and Hochschild cohomology. Let Λ t be the Yoneda algebra of a reconstruction algebra of type A 1 over a field k. In this paper, a minimal projective bimodule resolution of Λ t is constructed, and the k-dimensions of all Hochschild homology and cohomology groups of Λ t are calculated explicitly. Keywords Hochschild cohomology reconstruction algebra Yoneda algebra