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

Boris Kupershmidt, Ognyan Stoyanov

q-algarXiv:q-alg/9506007

Abstract

A local classification of all Poisson-Lie structures on an infinite-dimensional group G∞ of formal power series is given. All Lie bialgebra structures on the Lie algebra G∞ of G∞ are also classified.

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