Volume 20, Issue Supplement 1, November 2013, Pages 130 - 152
General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory
Authors
Hironobu Kimura
Department of Mathematics, Kumamoto University, Kurokami 2-39-1 Kumamoto 8555, Japan,hiro@sci.kumamoto-u.ac.jp
Damiran Tseveenamijil
School of Economics and Business, Mongolian State University of Agriculture Zaisan-17024, Ulanbaataar, Mongolia,tsezulaa@yahoo.com
Received 3 September 2012, Accepted 28 May 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.862441How to use a DOI?
- Keywords
- Isomonodromic deformation; Twistor theory; Schlesinger system
- 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.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Hironobu Kimura AU - Damiran Tseveenamijil PY - 2021 DA - 2021/01/06 TI - General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory JO - Journal of Nonlinear Mathematical Physics SP - 130 EP - 152 VL - 20 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.862441 DO - 10.1080/14029251.2013.862441 ID - Kimura2021 ER -