Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras

DOI10.1007/s10468-017-9704-1zbMath1416.16009arXiv1504.02495OpenAlexW2619725820MaRDI QIDQ1697172

Lucrecia Román, Maria Julia Redondo

Publication date: 15 February 2018

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02495

zbMATH Keywords

Hochschild cohomologystring algebrascup productLie bracket

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Associative rings and algebras with additional structure (16W99)

Related Items (10)

Comparison morphisms between two projective resolutions of monomial algebras ⋮ Morita invariance for infinitesimal deformations ⋮ Finite gentle repetitions of gentle algebras and their Avella-Alaminos–Geiss invariants ⋮ Gerstenhaber structure on Hochschild cohomology of toupie algebras ⋮ On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras ⋮ Polyvector fields for Fano 3-folds ⋮ On the first Hochschild cohomology group of a cluster-tilted algebra ⋮ The Gerstenhaber bracket in Hochschild cohomology: Methods and examples ⋮ \(L_{\infty}\)-structure on Bardzell's complex for monomial algebras ⋮ Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃

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