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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 1, Pages 47–59
DOI: https://doi.org/10.4213/tmf9593 (Mi tmf9593) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real forms of elliptic integrable systems

A. M. Grekovabc, E. I. Dotsenkoabc

a Institute for Theoretical and Experimental Physics, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
c Skolkovo Institute of Science and Technology, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9593
Abstract: We describe the real forms of classical elliptic integrable systems such as the elliptic Calogero–Moser system and the elliptic Euler–Arnold top in the framework of a general scheme for constructing real reductions for a Hitchin system.
Keywords: Calogero–Moser system, Euler–Arnold top, real form of integrable system.
Funding agency Grant number
Russian Foundation for Basic Research 15-02-04175
This research was supported by the Russian Foundation for Basic Research (Grant No. 15-02-04175).
Received: 07.06.2018
Revised: 13.09.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 1, Pages 513–524
DOI: https://doi.org/10.1134/S0040577919040032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Grekov, E. I. Dotsenko, “Real forms of elliptic integrable systems”, TMF, 199:1 (2019), 47–59; Theoret. and Math. Phys., 199:1 (2019), 513–524
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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