ON A CLASS OF INTEGRABLE SYSTEMS CONNECTED WITH GL(N,ℝ)
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Publication:3370318
DOI10.1142/S0217751X04020415zbMath1080.81019arXivmath/0301025MaRDI QIDQ3370318
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Publication date: 7 February 2006
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0301025
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)
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Gelfand-Zeitlin actions and rational maps ⋮ On a class of representations of the Yangian and moduli space of monopoles ⋮ Line bundles on spectral curves and the generalised Legendre transform construction of hyperkähler metrics
Cites Work
- Quantization of symplectic orbits of compact Lie groups by means of the functional integral
- A new interpretation of Gelfand-Tsetlin bases
- Quantum completely integrable systems connected with semi-simple Lie algebras
- Bott towers, complete integrability, and the extended character of representations
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Correlation functions in the Itzykson-Zuber model
- Applications of the Theory of Morse to Symmetric Spaces
- The toda flow on a generic orbit is integrable
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