The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers.

DOI10.1016/j.jpaa.2009.04.018zbMath1189.16010arXiv0706.2418OpenAlexW2071342427MaRDI QIDQ1035665

Ching-Hwa Eu

Publication date: 4 November 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2418

zbMATH Keywords

Hochschild cohomologyHochschild homologyDynkin quiverspreprojective algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (8)

BV differential on Hochschild cohomology of Frobenius algebras ⋮ The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero. ⋮ On (co)homology of Frobenius Poisson algebras ⋮ The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra. ⋮ Deformed preprojective algebras of generalized Dynkin type \(\mathbb L_n\): classification and symmetricity. ⋮ The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers. ⋮ Koszul calculus of preprojective algebras ⋮ BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

Cites Work

• Noncommutative geometry and quiver algebras
• The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers.
• On Hochschild cohomology of preprojective algebras. I
• Cyclic homology in non-commutative geometry
• Quiver varieties and Lusztig's algebra.
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