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Reductive subalgebras of semisimple Lie algebras and Poisson commutativity
Dmitri I. Panyushev, Oksana S. Yakimova
Let be a semisimple Lie algebra, a reductive subalgebra such that is a complementary -submodule of $\…
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Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of
Dmitri Panyushev, Oksana Yakimova
Let be the symmetric algebra of a reductive Lie algebra equipped with the standard Poisson structure. If ${\mathcal C}\subset\mathcal S(\m…