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A remark on equivariance of a moment mapping

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Abstract

It is known that the moment mapping of a strongly symplectic action of a Lie group on a symplectic manifold can be non-equivariant. It is proved in the paper that such non-equivariance can be eliminated in a canonical way; namely, a strongly symplectic action G × M → M of a connected Lie group has a Hamiltonian extension \( \tilde G \) × M → M.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    I. V. Mikityuk & A. M. Stepin

Authors
  1. I. V. Mikityuk
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  2. A. M. Stepin
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Additional information

Original Russian Text © I.V. Mikityuk, A.M. Stepin, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 3, pp. 30–33.

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Mikityuk, I.V., Stepin, A.M. A remark on equivariance of a moment mapping. Moscow Univ. Math. Bull. 63, 111–114 (2008). https://doi.org/10.3103/S0027132208030066

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  • DOI: https://doi.org/10.3103/S0027132208030066

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