The argument shift method and maximal commutative subalgebras of Poisson algebras

Details The argument shift method and maximal commutative subalgebras of Poisson algebras The argument shift method and maximal commutative subalgebras of Poisson algebras

2007-02-20

arxiv.org/abs/math/0702583v1

Mathematics

Representation Theory

13 pages

Scientific paper

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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