$\omega$-Lie algebras

Abstract

We study a certain generalization of Lie algebras where the Jacobian of three elements does not vanish but is equal to an expression depending on a skew-symmetric bilinear form.

v3: minor corrections in English

References in corpus (2)

• Deformations of Lie Algebras using $\sigma$-derivations
• Deforming a Lie algebra by means of a two form

Cited by in corpus (1)

• Representations of $\omega$-Lie Algebras and Tailed Derivations of Lie Algebras