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In mathematics, the argument shift method is a method for constructing functions in involution with respect to Poisson–Lie brackets, introduced by Mishchenko and Fomenko. They used it to prove that the Poisson algebra of a finite-dimensional semisimple Lie algebra contains a complete commuting set of polynomials.

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  • In mathematics, the argument shift method is a method for constructing functions in involution with respect to Poisson–Lie brackets, introduced by Mishchenko and Fomenko. They used it to prove that the Poisson algebra of a finite-dimensional semisimple Lie algebra contains a complete commuting set of polynomials. (en)
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  • In mathematics, the argument shift method is a method for constructing functions in involution with respect to Poisson–Lie brackets, introduced by Mishchenko and Fomenko. They used it to prove that the Poisson algebra of a finite-dimensional semisimple Lie algebra contains a complete commuting set of polynomials. (en)
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  • Argument shift method (en)
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