On quadratic Hom-Lie algebras with twist maps in their centroids and their relationship with quadratic Lie algebras
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Publication:6500095
DOI10.1016/J.JALGEBRA.2024.04.006MaRDI QIDQ6500095
García Rosendo, Gil Salgado, Oscar Adolfo Sánchez Valenzuela
Publication date: 10 May 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Lie algebras and Lie superalgebras (17Bxx)
Cites Work
- Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
- Lie algebras with quadratic dimension equal to 2
- Generalized derivations of Lie algebras
- Hom-Lie structures on Kac-Moody algebras
- A review on Hom-Gerstenhaber algebras and Hom-Lie algebroids
- Purely Hom-Lie bialgebras
- Deformations of Lie algebras using \(\sigma\)-derivations
- O -operators on hom-Lie algebras
- Centroids of nilpotent lie algabras
- Hom-structures on simple graded Lie algebras of finite growth
- Invariant metrics on central extensions of quadratic Lie algebras
- When Hom-Lie structures form a Jordan algebra
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