paper

A note on quantum groups and integrable systems

arXiv:1512.01658 · doi:10.1134/S0021364016020107

Abstract

Free-field formalism for quantum groups provides a special choice of coordinates on a quantum group. In these coordinates the construction of associated integrable system is especially simple. This choice also fits into general framework of cluster varieties -- natural changes of coordinates are cluster mutations.

3 pages, to appear in JETP Letters