Flexible Lie-admissible algebras

DOI10.1016/0021-8693(81)90103-4zbMath0467.17001OpenAlexW2005096604WikidataQ115367215 ScholiaQ115367215MaRDI QIDQ1155707

J. Marshall Osborn, Georgia M. Benkart

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90103-4

zbMATH Keywords

solvable radicalflexible Lie-admissible algebras

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Flexible algebras (17A20)

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Identity classification in triple systems ⋮ Anti-flexible bialgebras ⋮ On the construction of reductive Lie-admissible algebras ⋮ A reductive case on derivations in Vinberg (−1,1) rings ⋮ Lie-admissible algebras and Kac-Moody algebras ⋮ Lie-admissible structures on Witt type algebras ⋮ On certain power-associative, Lie-admissible subalgebras of matrix algebras ⋮ Ternary derivations of finite-dimensional real division algebras ⋮ A compendium of Lie structures on tensor products ⋮ Spurformeln in einfachen Lie-Algebren ⋮ Nearly associative deformation quantization ⋮ Irreducible Lie-Yamaguti algebras ⋮ Special bi-invariant linear connections on Lie groups and finite dimensional Poisson structures ⋮ Okubo's quartic trace formula for exceptional Lie algebras ⋮ Power-associative Lie-admissible algebras ⋮ On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras ⋮ On functional identities andd-free subsets of rings, I

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• A structure theory for Jordan algebras
• Some Lie Admissible Algebras
• Adjoint Operators in Lie Algebras and the Classification of Simple Flexible Lie-Admissible Algebras
• A Note on Derivations of Commutative Algebras
• Introduction to Lie Algebras and Representation Theory