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• W3100205005 abstract "It is shown that the factorization relation on simple Lie groups with standard Poisson Lie structure restricted to Coxeter symplectic leaves gives an integrable dynamical system. This system can be regarded as a discretization of the Toda flow. In case of $SL_n$ the integrals of the factorization dynamics are integrals of the relativistic Toda system. A substantial part of the paper is devoted to the study of symplectic leaves in simple complex Lie groups, its Borel subgroups and their doubles." @default.
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• W3100205005 date "2000-07-01" @default.
• W3100205005 modified "2023-09-27" @default.
• W3100205005 title "Factorization Dynamics and Coxeter--Toda Lattices" @default.
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• W3100205005 doi "https://doi.org/10.1007/s002200000212" @default.
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