Note on quantum groups and integrable systems


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Abstract

The 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 in coordinates are cluster mutations.

About the authors

A. Popolitov

Alikhanov Institute for Theoretical and Experimental Physics; Korteweg–de Vries Institute for Mathematics; Institute for Information Transmission Problems

Author for correspondence.
Email: popolit@itep.ru
Russian Federation, Moscow, 117218; Amsterdam, WX, 1012; Moscow, 127994

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