Homotopy lifting maps on Hochschild cohomology and connections to deformation of algebras using reduction systems

DOI10.1090/conm/791/15870arXiv2308.12954OpenAlexW4392585108MaRDI QIDQ6201559

Tolulope Oke

Publication date: 21 February 2024

Published in: Algebraic and Topological Aspects of Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.12954

zbMATH Keywords

Hochschild cohomologydeformationsrecurrence relationsquiver algebrasGerstenhaber bracketreduction systemshomotopy lifts

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Quadratic and Koszul algebras (16S37)

Cites Work

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• An alternate approach to the Lie bracket on Hochschild cohomology
• Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
• \(A_{\infty}\)-coderivations and the Gerstenhaber bracket on Hochschild cohomology
• Projective resolutions of associative algebras and ambiguities.
• An algorithmic approach to resolutions
• Resolutions over Koszul algebras.
• MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS
• Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution
• Cup product and Gerstenhaber bracket on Hochschild cohomology of a family of quiver algebras
• Hochschild Cohomology for Algebras

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