Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 4, Pages 39–41 (Mi vmumm4257)  
Mathematics

Splitting of function algebras on symplectic manifolds

V. Hoffman
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Abstract: We derive some sufficient conditions for Lie algebras of functions on symplectic manifolds to split into the ideal of locally constant functions and an ideal isomorphic о the Lie algebra оf Hamiltonian vector fields of certain functions. A splitting of this form is produced m the case of algebras on compact manifolds.
Received: 04.12.1981
Bibliographic databases:
Document Type: Article
UDC: 513.944
Language: Russian
Citation: V. Hoffman, “Splitting of function algebras on symplectic manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 4, 39–41
Citation in format AMSBIB
\Bibitem{Hof82}
\by V.~Hoffman
\paper Splitting of function algebras on symplectic manifolds
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 4
\pages 39--41
\mathnet{http://mi.mathnet.ru/vmumm4257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0671886}
\zmath{https://zbmath.org/?q=an:0504.58019}
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