Poisson reduction of twisted Heisenberg double and finite-dimensional integrable systems
DOI10.1007/BF01690326zbMath0952.37023MaRDI QIDQ1589230
Publication date: 7 December 2000
Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)
Poisson reductionmoduli space of flat connectionsRiemann surface of genus onetwisted Heisenberg double
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Cites Work
- Central extensions of quantum current groups
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- \(R\)-matrices for elliptic Calogero-Moser models
- Relativistic Calogero-Moser model as gauged WZW theory.
- Integrable many-body systems in the field theories
- Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
- The classical \(r\)-matrix for the relativistic Ruijsenaars-Schneider system.
- Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system
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