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Nambu-Lie Groups

Izu Vaisman
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Abstract

We extend the Nambu bracket to 1-forms. Following the Poisson-Lie case, we define Nambu-Lie groups as Lie groups endowed with a multiplicative Nambu structure. A Lie group G with a Nambu structure P is a Nambu-Lie group iff P=0 at the unit and the Nambu bracket of left (right) invariant forms is left (right) invariant. We define a corresponding notion of a Nambu-Lie algebra. We give several examples of Nambu-Lie groups and algebras.

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Izu Vaisman. 1998-12-10. Nambu-Lie Groups. https://arxiv.org/abs/math/9812064

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