Galois theory of fuchsian q-difference equations

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We propose an analytical approach to the Galois theory of singular regular linear q-difference systems. We use Tannaka duality along with Birkhoff's classification scheme with the connection matrix to define and describe their Galois groups. Then we describe \emph{fundamental subgroups} that give rise to a Riemann-Hilbert correspondence and to a density theorem of Schlesinger's type.
Prepublication du Laboratoire Emile Picard n.246. See also http://picard.ups-tlse.fr

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Quantum Algebra, 05A30 - 12 H 10 - 20 G - 33D - 34M - 39A13

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http://salesiana.dossiersoluciones.com/handle/123456789/65294

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210221
 http://arxiv.org/abs/math/0210221

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arXiv