On the Constructive Inverse Problem in Differential Galois Theory

Details On the Constructive Inverse Problem in Differential Galois Theory On the Constructive Inverse Problem in Differential Galois Theory

2004-03-23

arxiv.org/abs/math/0403378v3

Mathematics

General Mathematics

Several misprints have been corrected and the statement of Propositions 3.2 and 3.4 have been made more precise and their proo

Scientific paper

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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