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Yang-Baxter maps: dynamical point of view

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posted on 2006-10-17, 08:18 authored by Alexander VeselovAlexander Veselov
A review of some recent results on the dynamical theory of the Yang- Baxter maps (also known as set-theoretical solutions to the quantum Yang-Baxter equation) is given. The central question is the integrability of the transfer dynamics. The relations with matrix factorisations, matrix KdV solitons, Poisson Lie groups, geometric crystals and tropical combinatorics are discussed and demonstrated on several concrete examples.

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School

  • Science

Department

  • Mathematical Sciences

Pages

241046 bytes

Publication date

2006

Notes

This is a pre-print.

Language

  • en

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