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Article

General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory

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Pages 130-152 | Received 03 Sep 2012, Accepted 28 May 2013, Published online: 07 Nov 2013
 

Abstract

Isomonodromic deformation of linear differential equations on ℙ1 with regular and irregular singular points is considered from the view point of twistor theory. We give explicit form of isomonodromic deformation using the maximal abelian subgroup H of G = GLN+1(ℂ) which appeared in the theory of general hypergeometric functions on a Grassmannian manifold. This formulation enables us to obtain a group of symmetry for the nonlinear system which is an Weyl group analogue NG (H)/H.

2000 Mathematics Subject Classification:

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