General Schlesinger Systems and Their Symmetry from the View Point of Twistor theory
- https://doi.org/10.1080/14029251.2013.862441How to use a DOI?
- Isomonodromic deformation, Twistor theory, Schlesinger system
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.
- © 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 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 - https://doi.org/10.1080/14029251.2013.862441 ID - Kimura2021 ER -