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Coadjoint Poisson actions of Poisson-Lie groups

Boris A. Kupershmidt·Ognyan S. Stoyanov
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Abstract

A Poisson-Lie group acting by the coadjoint action on the dual of its Lie algebra induces on it a non-trivial class of quadratic Poisson structures extending the linear Poisson bracket on the coadjoint orbits.

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Boris A. Kupershmidt, Ognyan S. Stoyanov. 1999-07-01. Coadjoint Poisson actions of Poisson-Lie groups. https://doi.org/10.2991/jnmp.1999.6.3.9

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