Lie-admissible algebras and Kac-Moody algebras

DOI10.1006/jabr.1997.7125zbMath0892.17021OpenAlexW2081407123WikidataQ115395944 ScholiaQ115395944MaRDI QIDQ1375360

Seok-Jin Kang, Kyeonghoon Jeong, Hyeonmi Lee

Publication date: 22 June 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7125

zbMATH Keywords

Kac-Moody algebrasflexible algebrasLie-admissible algebrasthird power-associative algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie-admissible algebras (17D25)

Related Items (5)

Lie-admissible structures on Witt type algebras ⋮ On certain power-associative, Lie-admissible subalgebras of matrix algebras ⋮ Free Lie-admissible algebras and an analogue of the PBW theorem ⋮ A compendium of Lie structures on tensor products ⋮ On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras

Cites Work

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• Power-associative Lie-admissible algebras
• Malcev-admissible algebras
• Flexible Lie-admissible algebras
• Power-associative products on octonions
• Some Lie Admissible Algebras
• Adjoint Operators in Lie Algebras and the Classification of Simple Flexible Lie-Admissible Algebras
• Some Classes of Flexible Lie-Admissible Algebras
• Introduction to Lie Algebras and Representation Theory
• Power-associative rings

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