Finite-dimensional coadjoint orbits in loop algebras
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Publication:1317882
DOI10.1007/BF00939697zbMath0797.17015MaRDI QIDQ1317882
Publication date: 22 March 1994
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
integrable Hamiltonian systemssemi-simple Lie algebraloop algebra of semi-infinite formal Laurent series
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Cites Work
- Unnamed Item
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- The solution to a generalized Toda lattice and representation theory
- Completely integrable systems, Euclidean Lie algebras, and curves
- Systems of Toda type, inverse spectral problems, and representation theory
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
- HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS