Lax equations, weight lattices, and Prym-Tjurin varieties

DOI10.1007/BF02392588zbMath0952.37047MaRDI QIDQ1282111

Andrew McDaniel, Lawrence Smolinsky

Publication date: 1 June 2000

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Weyl groupLax representationwedge representationBorel-Weyl theory

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (3)

ADE spectral networks ⋮ Five-dimensional gauge theories and the local B-model ⋮ Exterior powers of the adjoint representation and the Weyl ring of \(E_8\)

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
• A Lie theoretic Galois theory for the spectral curves of an integrable system. I
• Linearizing Flows and a Cohomological Interpretation of Lax Equations
• The flow of the G2 periodic Toda lattice
• A Lie theoretic Galois theory for the spectral curves of an integrable system. II
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