Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A1

Title:

Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A1

Creator:

Hou, Bo and Guo, Yanhong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:75746391-e494-4edd-b67c-1e35ad8c30fa
uuid:75746391-e494-4edd-b67c-1e35ad8c30fa
issn:0011-4642

Subject:

matematika, mathematics, Hochschild cohomology, reconstruction algebra, Yoneda algebra, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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 Λt be the Yoneda algebra of a reconstruction algebra of type A1 over a field k. In this paper, a minimal projective bimodule resolution of Λt is constructed, and the k-dimensions of all Hochschild homology and cohomology groups of Λt are calculated explicitly., Bo Hou, Yanhong Guo., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1085-1099

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false