Representations of sl(n,\({\mathbb{C}})\) and the Toda lattice

DOI10.1215/S0012-7094-88-05604-9zbMath0645.58024MaRDI QIDQ1103242

Andrew McDaniel

Publication date: 1988

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

integrable systemloop algebralinearization procedureperiodic Toda latticesemi-simple Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99) Hamilton-Jacobi equations in mechanics (70H20)

Related Items

ADE spectral networks, Integrable systems and supersymmetric gauge theory, The flow of the G2 periodic Toda lattice, A Lie theoretic Galois theory for the spectral curves of an integrable system. II, A Lie theoretic Galois theory for the spectral curves of an integrable system. I, Lax equations, weight lattices, and Prym-Tjurin varieties, \(N=2\) superconformal field theory with ADE global symmetry on a D3-brane probe

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