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A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System
Інший ID:
2010 Mathematics Subject Classification: 14H70; 37J15; 53D20
DOI:10.3842/SIGMA.2016.027
DOI:10.3842/SIGMA.2016.027
Посилання:
A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates of the Rational Calogero-Moser System / T.F. Görbe // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 10 назв. — англ.
Підтримка:
Thanks are due to Laszlo Feher for drawing our attention to the duality perspective. This work
was supported in part by the Hungarian Scientific Research Fund (OTKA) under the grant
K-111697. The work was also partially supported by COST (European Cooperation in Science
and Technology) in COST Action MP1405 QSPACE.
Дата:
2016
Переглядів:
637
Завантажень:
210
Анотація:
We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof of Sklyanin's expression providing spectral Darboux coordinates of the rational Calogero-Moser system. This viewpoint enables us to verify a conjecture of Falqui and Mencattini, and to obtain Sklyanin's formula as a corollary.
