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On the Constructive Inverse Problem in Differential Galois Theory

William J. Cook·Claude Mitschi·Michael F. Singer
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Abstract

We give sufficient conditions for a linear differential equation to have a given semisimple group as its Galois group. For any linear algebraic group G given as a semidirect product of a finite subgroup and a normal subgroup that is a product of groups of type An, Cn, Dn, E6, or E7, we construct a differential equation over C(x) having Galois group G.

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BibTeXRIS

William J. Cook, Claude Mitschi, Michael F. Singer. 2005-06-05. On the Constructive Inverse Problem in Differential Galois Theory. https://arxiv.org/abs/math/0403378

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