The Lie structure on the Hochschild cohomology of a modular group algebra.

DOI10.1016/J.JPAA.2011.08.007zbMath1279.16010arXiv1103.3218OpenAlexW1974753720WikidataQ115345510 ScholiaQ115345510MaRDI QIDQ418930

Selene Sánchez-Flores

Publication date: 30 May 2012

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

Full work available at URL: https://arxiv.org/abs/1103.3218

zbMATH Keywords

finite dimensional algebrasgraded Lie algebrasHochschild cohomology groupsmonomial algebrasGerstenhaber algebrasGerstenhaber bracketLie modulesgroup algebras of cyclic groupsWitt algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded Lie (super)algebras (17B70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (11)

The modular isomorphism problem: a survey ⋮ Hochschild cohomology: some applications in representation theory of algebras ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ On the Hochschild cohomology ring of tensor products of algebras. ⋮ On the BV structure of the Hochschild cohomology of finite group algebras ⋮ The BV-algebra structure on the Hochschild cohomology of local algebras of quaternion type in characteristic 2 ⋮ Hochschild cohomology of a strongly homotopy commutative algebra ⋮ The Gerstenhaber bracket in Hochschild cohomology: Methods and examples ⋮ Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra ⋮ Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies ⋮ BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

Cites Work

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• Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras.
• Cyclic homology of algebras with one generator
• Hochschild cohomology algebra of abelian groups
• The cohomology structure of an associative ring
• On the Semisimplicity of the Outer Derivations of Monomial Algebras
• Algébre de lie de type witt
• The hochschild cohomology ring of a modular group algebra: the commutative case

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