Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case

DOI10.1016/S0550-3213(99)80001-7zbMath0942.37049arXivmath-ph/9810006OpenAlexW2082195179MaRDI QIDQ1572005

A. N. Leznov

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9810006

zbMATH Keywords

gradingexactly integrable systemsgeneralized Toda chainsemisimple series

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Graded Lie (super)algebras (17B70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension ⋮ \(W\)-algebras for non-abelian Toda systems ⋮ Planar pure braids on six strands

Cites Work

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• The new look on the theory of integrable systems
• Maximally non-abelian Toda systems
• Integrable two-dimensional ultra-Toda mappings and chains
• The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice
• Graded Lie algebras, representation theory, integrable mappings and integrable systems
• The general solution of two-dimensional matrix Toda chain equation with fixed ends

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