ON LIE GROUPS, CLUSTER VARIABLES AND INTEGRABLE SYSTEMS

DOI10.1142/S0217751X13400071zbMath1259.37042OpenAlexW2741019159WikidataQ115246400 ScholiaQ115246400MaRDI QIDQ4912866

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Publication date: 27 March 2013

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x13400071

zbMATH Keywords

integrable systemscluster varieties

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Unnamed Item
• Discrete monodromy, pentagrams, and the method of condensation
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• 5d and 6d supersymmetric gauge theories: Prepotentials from integrable systems
• The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory.
• Relativistic Toda systems
• Discrete evolution for the zero modes of the quantum Liouville model

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