On anticommutative algebras for which \([R_a,R_b]\) is a derivation

DOI10.1016/j.geomphys.2021.104113zbMath1505.17004arXiv2105.00307OpenAlexW3120208606MaRDI QIDQ2662749

Pasha Zusmanovich, I. B. Kaĭgorodov

Publication date: 14 April 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00307

zbMATH Keywords

cohomologyLie algebraderivationcommutatorcentral extensionanticommutative algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55) Nonassociative algebras satisfying other identities (17A30) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (3)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras

Uses Software

• GAP

Cites Work

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• Almost Jordan Rings
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• STRUCTURE AND REPRESENTATION OF BINARY-LIE ALGEBRAS
• Assosymmetric algebras under Jordan product
• The algebraic and geometric classification of nilpotent binary Lie algebras
• Representations of Quadratic Jordan Algebras

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