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Classification of all Poisson-Lie structures on an infinite-dimensional jet group

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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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Kupershmidt, B.A., Stoyanov, O.S. Classification of all Poisson-Lie structures on an infinite-dimensional jet group. Lett Math Phys 37, 1–9 (1996). https://doi.org/10.1007/BF00400133

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  • DOI: https://doi.org/10.1007/BF00400133

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