Gerstenhaber algebra structure on the cohomology of a hom-associative algebra

DOI10.1007/s12044-019-0543-3zbMath1445.16007arXiv1805.01207OpenAlexW3031448935MaRDI QIDQ2174843

Apurba Das

Publication date: 27 April 2020

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01207

zbMATH Keywords

Hochschild cohomologycup-productGerstenhaber algebrahom-algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Nonassociative algebras satisfying other identities (17A30)

Related Items (7)

Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras ⋮ Homotopy \(G\)-algebra structure on the cochain complex of Hom-type algebras ⋮ Hom-associative algebras up to homotopy ⋮ Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra ⋮ Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras ⋮ Noncommutative differential calculus on (co)homology of hom-associative algebras ⋮ Cohomology of BiHom-associative algebras

Cites Work

• Unnamed Item
• Cyclic homology for Hom-associative algebras
• The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products.
• Homotopy \(G\)-algebra structure on the cochain complex of Hom-type algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• The cohomology structure of an associative ring
• Hom-algebra structures
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Morphisms Cohomology and Deformations of Hom-algebras

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