Chain level proof for the isomorphism between Lie and Hochschild homologies

DOI10.1142/S1793557121501138zbMath1482.17047OpenAlexW3044437020MaRDI QIDQ5164635

Zuhier Altawallbeh

Publication date: 12 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501138

zbMATH Keywords

Hochschild homologyLie homologychain level complex

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Universal enveloping (super)algebras (17B35) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) (K)-theory and homology; cyclic homology and cohomology (19D55) Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32)

Cites Work

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• Non-commutative differential geometry
• Calculations on Lie algebra of the group of affine symplectomorphisms
• From Leibniz homology to cyclic homology
• Cohomology of Lie algebras
• Leibniz and Hochschild homology
• Cohomology Theory of Lie Groups and Lie Algebras

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