On the Constructive Inverse Problem in Differential Galois Theory

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

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General Mathematics, Classical Analysis and ODEs, Group Theory, 34M50 (Primary) 12H05, 12H20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70553

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403378
 http://arxiv.org/abs/math/0403378

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arXiv