Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators

DOI10.25537/dm.2022v27.1773-1804MaRDI QIDQ2090780

Ziling Li, Estanislao Herscovich

Publication date: 31 October 2022

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04975

zbMATH Keywords

Hochschild cohomologyGerstenhaber bracketFomin-Kirillov algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Resolutions; derived functors (category-theoretic aspects) (18G10) Quadratic and Koszul algebras (16S37)

Related Items (1)

Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators

Cites Work

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• An alternate approach to the Lie bracket on Hochschild cohomology
• Methods of graded rings.
• A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket
• Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators
• The cohomology structure of an associative ring
• The cohomology ring of the 12-dimensional Fomin-Kirillov algebra
• New Trends in Hopf Algebra Theory
• Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution
• Hochschild Cohomology for Algebras

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