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Moscow Mathematical Journal, 2004, Volume 4, Number 4, Pages 941–946
DOI: https://doi.org/10.17323/1609-4514-2004-4-4-941-946 (Mi mmj177) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Bihamiltonian elliptic structures

A. V. Odesskiiab

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Institut des Hautes Études Scientifiques
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DOI: https://doi.org/10.17323/1609-4514-2004-4-4-941-946
Abstract: We construct three compatible quadratic Poisson structures such that generic linear combination of them is associated with elliptic Sklyanin algebra in $n$ generators. Symplectic leaves of this elliptic Poisson structure is studied. Explicit formulas for Casimir elements are obtained.
Key words and phrases: Bihamitonian structure, Lenard scheme, elliptic algebras, symplectic leaves, Casimir elements.
Received: January 6, 2003
Bibliographic databases:
MSC: 14, 79
Language: English
Citation: A. V. Odesskii, “Bihamiltonian elliptic structures”, Mosc. Math. J., 4:4 (2004), 941–946
Citation in format AMSBIB
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\paper Bihamiltonian elliptic structures
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\yr 2004
\vol 4
\issue 4
\pages 941--946
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    • This publication is cited in the following 6 articles:
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