Biderivations of Hom-Lie algebras and superalgebras

2021/08/13 by Yuan, Lamei, Li, Jiaxin
#17A30 #17A60 #17B05 #17B60 #17B70 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2108.06042

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.

Related

• Linear super-commuting maps and super-biderivations on Hom-lie superalgebras
• Super-biderivations of Lie superalgebras
• Biderivations and commuting linear maps on Hom-Lie algebras
• Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra
• Quasi-hom-Lie Algebras, Central Extensions and 2-cocycle-like Identities