Poisson Geometry of Difference Lax Operators, and Difference Galois Theory, or Quantum groups from Poisson brackets anomalies
Institut Mathématique de Bourgogne, Dijon, France and St.Petersburg Department of Steklov Mathematical Institute St.Petersburg, Russia
Published online: 25 September 2014
We discuss the lift of Poisson structures associated with auxiliary linear problems for the differential and difference Lax equations to the space of wave functions. Due to a peculiar symmetry breaking, the corresponding differential and difference Galois groups become Poisson Lie Groups.
© Owned by the authors, published by EDP Sciences, 2014
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