Power-associative Lie-admissible algebras

DOI10.1016/0021-8693(84)90196-0zbMath0542.17012OpenAlexW2026466420WikidataQ115367026 ScholiaQ115367026MaRDI QIDQ795159

Georgia M. Benkart

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90196-0

zbMATH Keywords

semisimple Lie algebracharacteristic zeroLie-admissible algebrasthird-power-associative

Mathematics Subject Classification ID

Power-associative rings (17A05) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items (12)

Lie-admissible algebras and Kac-Moody algebras ⋮ When Hom-Lie structures form a Jordan algebra ⋮ 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 ⋮ Commutative 2-cocycles on Lie algebras ⋮ Power associativity in mutations o f associative algebras ⋮ Lie-admissible algebras and generalized witt 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 ⋮ Power-associative products on octonions ⋮ On the nucleus of certain lie admissible rings

Cites Work

• Flexible Lie-admissible algebras
• Some Lie Admissible Algebras
• Introduction to Lie Algebras and Representation Theory
• Algebras Based on Linear Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Power-associative Lie-admissible algebras