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.
| Original language | English |
|---|---|
| Pages (from-to) | 181-194 |
| Number of pages | 14 |
| Journal | Journal of Lie Theory |
| Volume | 10 |
| Issue number | 1 |
| State | Published - 2000 |
ASJC Scopus subject areas
- Algebra and Number Theory