Pentagram maps and refactorization in Poisson-Lie groups

2 Mar 2018 Anton Izosimov

The pentagram map was introduced by R. Schwartz in 1992 and is now one of the most renowned discrete integrable systems. In the present paper we prove that this map, as well as its all known integrable multidimensional generalizations, can be seen as refactorization-type mappings in the Poisson-Lie group of pseudo-difference operators... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • SYMPLECTIC GEOMETRY