The flow of the G2 periodic Toda lattice

DOI10.1063/1.531872zbMath0884.58053OpenAlexW2044561341MaRDI QIDQ4338356

Lawrence Smolinsky, Andrew McDaniel

Publication date: 3 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531872

zbMATH Keywords

Weyl groupflowPrym-Tjurin variety\(G_ 2\) periodic Toda lattice

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) Picard schemes, higher Jacobians (14K30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

A Lie theoretic Galois theory for the spectral curves of an integrable system. II ⋮ Lax equations, weight lattices, and Prym-Tjurin varieties

Cites Work

• Representations of sl(n,\({\mathbb{C}})\) and the Toda lattice
• Linearization of Hamiltonian systems, Jacobi varieties and representation theory
• Completely integrable systems, Euclidean Lie algebras, and curves
• The spectrum of difference operators and algebraic curves
• The Toda lattice, Dynkin diagrams, singularities and Abelian varieties
• A Lie theoretic Galois theory for the spectral curves of an integrable system. I

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