Nambu-Lie Groups

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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.

Original languageEnglish
Pages (from-to)181-194
Number of pages14
JournalJournal of Lie Theory
Issue number1
StatePublished - 2000

ASJC Scopus subject areas

  • Algebra and Number Theory


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