On the Lie algebra structures connected with Hamiltonian dynamical systems
We construct the hierarchies of master symmetries constituting Virasoro-type algebras for the Hamiltonian vector fields preserving a recursion operator. Similarly, repeatedly contracting a Hamiltonian vector field with the corresponding recursion operator, we define an Abelian Lie algebra of the thu...
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| Datum: | 1997 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
1997
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| Schriftenreihe: | Український математичний журнал |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Lie algebra structures connected with Hamiltonian dynamical systems / R.G. Smirnov // Український математичний журнал. — 1997. — Т. 49, № 5. — С. 699–705. — Бібліогр.: 9 назв. — англ. |
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