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Abstract: We study the deep connection between integrable models and Poisson-LieT-duality working on a finite dimensional example constructed on SL2,C andits Iwasawa factors SU2 and B. We shown the way in which Adler-Kostant-Symestheory and collective dynamics combine to solve the equivalent systems fromsolving the factorization problem of an exponential curve in SL2,C. It isshown that the Toda system embraces the dynamics of the systems on SU2 and B.



Author: S. Capriotti, H. Montani

Source: https://arxiv.org/







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