Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system

Gleb Arutyunov

Banach Center Publications (1997)

  • Volume: 40, Issue: 1, page 249-259
  • ISSN: 0137-6934

Abstract

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By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.

How to cite

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Arutyunov, Gleb. "Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system." Banach Center Publications 40.1 (1997): 249-259. <http://eudml.org/doc/252255>.

@article{Arutyunov1997,
abstract = {By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.},
author = {Arutyunov, Gleb},
journal = {Banach Center Publications},
keywords = {-matrix equation; elliptic Calogero-Moser model; generating equation; spectral parameter; degenerations},
language = {eng},
number = {1},
pages = {249-259},
title = {Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system},
url = {http://eudml.org/doc/252255},
volume = {40},
year = {1997},
}

TY - JOUR
AU - Arutyunov, Gleb
TI - Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
JO - Banach Center Publications
PY - 1997
VL - 40
IS - 1
SP - 249
EP - 259
AB - By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
LA - eng
KW - -matrix equation; elliptic Calogero-Moser model; generating equation; spectral parameter; degenerations
UR - http://eudml.org/doc/252255
ER -

References

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  12. [12] I. Krichever, Funk. Anal. Appl., 14 (1980) 45. 
  13. [13] N. I. Akhiezer, Elements of theory of elliptic functions, in Russian. 
  14. [14] A. Gorsky, N. Nekrasov, Nucl. Phys. B414 (1994), 213; B436 (1995), 582; A. Gorsky, Integrable many body systems in the field theories, preprint UUITP-16/94, (1994). Zbl0855.35106
  15. [15] J. Avan and G. Rollet, The classical r-matrix for the relativistic Ruijsenaars-Schneider system, preprint BROWN-HET-1014 (1995). Zbl1073.81585
  16. [16] S. N. Ruijsenaars, Comm. Math. Phys. 110 (1987) 191. 

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