On the existence of monodromy groups of Fuchsian systems on Riemann's sphere with unipotent generators
type: Item
instance of: scholarly article
title: On the existence of monodromy groups of Fuchsian systems on Riemann's sphere with unipotent generators
zbMATH Open document ID: 0948.34066
DOI: 10.1007/BF02259626
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: Here, the following Deligne-Simpson problem is considered: For what choice of the \((p+1)\)-tuple of conjugacy classes \(C_1,\dots, C_{p+1}\) in \(\text{GL}(n,\mathbb{C})\), \(p\geq 2\), do there exist irreducible \((p+1)\)-tuples of matrices \(M_j\in C_j\) such that \(M_1,\dots, M_{p+1}= I\), \(I\) being the identity matrix? Necessary and sufficient conditions for the existence of such tuples in the case where \(M_j\) are unipotent are investigated.
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 1431803
zbMATH Keywords: monodromy groups
zbMATH Keywords: Fuchsian systems
zbMATH Keywords: Riemann's sphere
zbMATH Keywords: unipotent generators
zbMATH Keywords: Deligne-Simpson problem
author: Vladimir P. Kostov
reviewed by: S. K. Chatterjea
MaRDI profile type: Publication
cites work: Q4276011
cites work: Q3254327
cites work: A generalization of the Burnside theorem and of Schur's lemma for reducible representations
cites work: Q4010272
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description: scientific article; zbMATH DE number 1431803