Lax equations, weight lattices, and Prym-Tjurin varieties
type: Item
instance of: scholarly article
title: Lax equations, weight lattices, and Prym-Tjurin varieties
zbMATH Open document ID: 0952.37047
DOI: 10.1007/BF02392588
author: Andrew McDaniel
author: Lawrence Smolinsky
published in: Acta Mathematica
publication date: 2000-06-01T00:00:00Z
review text: The authors discuss relation between two approaches to integrable systems -- by Lie algebras and by algebraic curves. It is shown that the line bundles on the algebraic curves giving the evolution of the system are pullbacks of the line bundles of the Borel-Weil theory. A Weyl group action on the Jacobian of the master spectral curve picks out a sub-abelian variety.
Mathematics Subject Classification ID: 37K30
zbMATH DE Number: 1269882
zbMATH Keywords: Lax representation
zbMATH Keywords: Weyl group
zbMATH Keywords: Borel-Weyl theory
zbMATH Keywords: wedge representation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1269882