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On the existence of monodromy groups of fuchsian systems on Riemann's sphere with unipotent genrators

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Abstract

In this paper we consider the following problem: For what choice of the (p+1)-tuple of conjugacy classesC 1,…,C p+1 in GL(n,ℂ),p≥2, do there exist irreducible (p+1)-tuples of matricesM j ∈C j such that the productM 1,…,M p+1 equals identity?

We present the necessary and sufficient conditions for the existence of such tuples in the case whereM j are unipotent.

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  1. Laboratoire de Mathématiques, Université de Nice, Parc Valrose, 06108, Nice Cedex 2, France

    V. P. Kostov

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  1. V. P. Kostov
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Kostov, V.P. On the existence of monodromy groups of fuchsian systems on Riemann's sphere with unipotent genrators. Journal of Dynamical and Control Systems 2, 125–155 (1996). https://doi.org/10.1007/BF02259626

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  • DOI: https://doi.org/10.1007/BF02259626

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