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Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A 1

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, No. 1, Jinming Avenue, Kaifeng, 475004, Henan, P.R.China

    Bo Hou & Yanhong Guo

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  1. Bo Hou
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  2. Yanhong Guo
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Correspondence to Bo Hou.

Additional information

This work was financially supported by National Natural Science Foundation of China (Grant Nos. 11301143 and 11301144).

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Hou, B., Guo, Y. Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A 1 . Czech Math J 65, 1085–1099 (2015). https://doi.org/10.1007/s10587-015-0229-7

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  • DOI: https://doi.org/10.1007/s10587-015-0229-7

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