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Link Polynomials and Exactly Solvable Modelsonsists of two steps. First, representation of the braid group is made from the Boltzmann weights of the exactly solvable model. Second, Markov trace is defined on the braid group representation. Sufficient conditions for the existence of the Markov trace are explicitly given. The knot theory basedCommunicate 发表于 2025-3-29 21:25:35
R-Matrices and Higher Poisson Brackets for Integrable Systemscompatible Poisson brackets with linear, quadratic and cubic dependence on the coordinates. The invariant functions (Casimir functions) on .* are in involution relative to these brackets, they yield a hierarchy of integrable tri-hamiltonian Lax-equations. The results can be applied to solvable PDE’sASSET 发表于 2025-3-30 00:06:08
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