Generalized omni-Lie algebras

Authors : Chang SUN, Liangyun CHEN
Pages : 409-415
Doi:10.15672/hujms.568290
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Publication Date : 2020-02-06
Article Type : Research Paper
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

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