Generalized omni-Lie algebras

Year 2020, Volume: 49 Issue: 1, 409 - 415, 06.02.2020

Chang Sun Liangyun Chen

https://doi.org/10.15672/hujms.568290

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

References

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