Generalized omni-Lie algebras
Authors : Chang Sun, Liangyun Chen
Pages : 409-415
Doi:10.15672/hujms.568290
View : 9 | Download : 3
Publication Date : 2020-02-06
Article Type : Research
Abstract :We introduce the notion of generalized omni-Lie algebras from omni-Lie algebras constructed by Weinstein. We prove that there is a one-to-one correspondence between Dirac structures of a generalized omni-Lie algebra and Lie structures on its linear space.Keywords : omni-Lie algebras, generalized omni-Lie algebras, Dirac structures