A note on quantum groups and integrable systems
A. Popolitov
Alikhanov Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
KdVI, University of Amsterdam, 1012 WX Amsterdam Netherlands
Institute for Information Transmission Problems, 127994 Moscow, Russia
Abstract
Free-field formalism for quantum groups
(preprint ITEP-M3/94, CRM-2202 hep-th/9409093) provides a special choice
of coordinates on a quantum group. In these coordinates the construction of
associated integrable system (arXiv:1207.1869) is especially simple.
This choice also fits into general framework of cluster varieties
(math.AG/0311245) - natural changes of coordinates are cluster mutations.