A Lie theoretic Galois theory for the spectral curves of an integrable system. II

DOI10.1090/S0002-9947-97-01853-9zbMath0868.58046OpenAlexW1489731390MaRDI QIDQ5690991

Andrew McDaniel, Lawrence Smolinsky

Publication date: 9 January 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01853-9

zbMATH Keywords

Weyl groupJacobiansspectral curvesperiodic Toda latticeabelian subvarieties

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)

Related Items (5)

ADE spectral networks ⋮ Mirror symmetry for extended affine Weyl groups ⋮ On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds ⋮ Exterior powers of the adjoint representation and the Weyl ring of \(E_8\) ⋮ Lax equations, weight lattices, and Prym-Tjurin varieties

Cites Work

• Prym varieties and the geodesic flow on \(\mathrm{SO}(n)\)
• 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
• A Lie theoretic Galois theory for the spectral curves of an integrable system. I
• Seminar on Transformation Groups. (AM-46)
• Hecke algebras
• The flow of the G2 periodic Toda lattice
• Introduction to Lie Algebras and Representation Theory
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