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The argument shift method and maximal commutative subalgebras of Poisson algebras

Dmitri I. Panyushev·Oksana S. Yakimova
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Abstract

Let $S$ be the symmetric algebra of an algebraic Lie algebra. We provide a sufficient condition for the maximality of Poisson commutative subalgebras of $S$ obtained by the argument shift method.

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BibTeXRIS

Dmitri I. Panyushev, Oksana S. Yakimova. 2007-02-20. The argument shift method and maximal commutative subalgebras of Poisson algebras. https://arxiv.org/abs/math/0702583

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