Classification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group

Abstract

A local classification of all Poisson-Lie structures on an infinite-dimensional group $G_{\infty }$ of formal power series is given. All Lie bialgebra structures on the Lie algebra ${\Cal G}_{\infty}$ of $G_{\infty }$ are also classified.

11 pages, AmSTeX file

Cited by in corpus (1)

• Poisson Diffeomorphism Groups