Group actions on algebras and the graded Lie structure of Hochschild cohomology.

DOI10.1016/j.jalgebra.2011.10.038zbMath1276.16005arXiv0911.0938OpenAlexW2964169743WikidataQ115351159 ScholiaQ115351159MaRDI QIDQ427773

Sarah Witherspoon, Anne V. Shepler

Publication date: 18 June 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0938

zbMATH Keywords

Hochschild cohomologygroup actionsdeformationsGerstenhaber bracketssymplectic reflection algebrasskew group algebrasgraded Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (15)

Gerstenhaber brackets for skew group algebras in positive characteristic ⋮ The Gerstenhaber bracket of Hochschild cohomology of triangular quadratic monomial algebra ⋮ Drinfeld orbifold algebras for symmetric groups ⋮ Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ A simple construction of associative deformations ⋮ Hochschild cohomology for self-injective algebras of tree class \(D_n\). VI. ⋮ Truncated quantum Drinfeld Hecke algebras and Hochschild cohomology ⋮ The periodic cyclic homology of crossed products of finite type algebras ⋮ \(G\)-twisted braces and orbifold Landau-Ginzburg models ⋮ Hochschild cohomology and quantum Drinfeld Hecke algebras ⋮ The Hochschild cohomology ring of a global quotient orbifold ⋮ Representations of modular skew group algebras ⋮ PBW deformations of skew group algebras in positive characteristic. ⋮ Hochschild cohomology of certain Koszul Sullivan Extensions

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