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

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

1995-06-08

arxiv.org/abs/q-alg/9506007v1

Mathematics

Quantum Algebra

11 pages, AmSTeX file

Scientific paper

10.1007/BF00400133

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.

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