Gradient flows on Kač-Moody algebras and the periodic Toda lattice

DOI10.4310/CIS.2008.V8.N2.A4zbMath1191.37037MaRDI QIDQ1024930

Mohamed-Ali Belabbas

Publication date: 17 June 2009

Published in: Communications in Information and Systems (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cis/1240325287

zbMATH Keywords

Kac-Moody algebrasgradient flowsperiodic Toda latticedouble bracket equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Loop groups and related constructions, group-theoretic treatment (22E67) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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