Biderivations of Hom-Lie algebras and superalgebras

Abstract

On Hom-Lie algebras and superalgebras,we introduce the notions of biderivations, linear commuting maps and α-biderivations, and compute them for some typical Hom-Lie algebras and superalgebras, including q-deformed W(2,2) algebra, q-deformed Witt algebra and superalgebra.

25 pages and no figures. Typos are corrected. Comments are welcome

References in corpus (3)

• Deformations of Lie Algebras using $\sigma$-derivations
• q-Deformation of W(2,2) Lie algebra associated with quantum groups
• Biderivations and commuting linear maps on Hom-Lie algebras