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

DOI10.1007/BF02096626zbMath0766.58030MaRDI QIDQ1200678

Lawrence Smolinsky, Andrew McDaniel

Publication date: 16 January 1993

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

zbMATH Keywords

Lie algebraLie groupcompletely integrable systemspectral curvesperiodic 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)

Related Items

ADE spectral networks, Mirror symmetry for extended affine Weyl groups, 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, Lax equations, weight lattices, and Prym-Tjurin varieties

Cites Work

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