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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2016, Volume 103, Issue 2, Pages 144–146
DOI: https://doi.org/10.7868/S0370274X16020120 (Mi jetpl4847) 		 
METHODS OF THEORETICAL PHYSICS

A note on quantum groups and integrable systems

A. Popolitovabc

a Institute for Information Transmission Problems, 127994 Moscow, Russia
b KdVI, University of Amsterdam, 1012 WX Amsterdam Netherlands
c Alikhanov Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
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DOI: https://doi.org/10.7868/S0370274X16020120
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-1500.2014.2
Russian Foundation for Basic Research 15-31-20832-мол-а-вед
14-02-00627_а
15-52-50041_ЯФ_а
This work is partly supported by grant for support of scientific schools NSh-1500.2014.2, RFBR grants 15-31-20832-mol-a-ved and 14-02-00627, by 15-52-50041-YaF.
Received: 03.12.2015
English version:
Journal of Experimental and Theoretical Physics Letters, 2016, Volume 103, Issue 2, Pages 137–139
DOI: https://doi.org/10.1134/S0021364016020107
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Popolitov, “A note on quantum groups and integrable systems”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:2 (2016), 144–146; JETP Letters, 103:2 (2016), 137–139
Citation in format AMSBIB
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