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• W3100127513 abstract "A new Lax representation for the Bogoyavlensky lattice is found and its r-matrix interpretation is elaborated. The r-matrix structure turns out to be related to a highly nonlocal quadratic Poisson structure on a direct sum of associative algebras. The theory of such nonlocal structures is developed and the Poisson property of the monodromy map is worked out in the most general situation. Some problems concerning the duality of Lax representations are raised." @default.
• W3100127513 created "2020-11-23" @default.
• W3100127513 creator A5048416862 @default.
• W3100127513 date "1997-08-01" @default.
• W3100127513 modified "2023-09-26" @default.
• W3100127513 title "Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices" @default.
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• W3100127513 doi "https://doi.org/10.1063/1.532090" @default.
• W3100127513 hasPublicationYear "1997" @default.
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