Différentielles non commutatives et théorie de Galois différentielle ou aux différences

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dc.creatorAndré, Yves
dc.date2002-03-26
dc.date.accessioned2026-07-07T04:47:18Z
dc.date.available2026-07-07T04:47:18Z
dc.descriptionWe show how the Galois-Picard_Vessiot theory of differential equations and difference equations, and the theory of holonomy groups in differential geometry, are different aspects of a unique Galois theory. The latter is based upon the construction and study of the tensor product of non commutative connections over a commutative base, without any curvature assumption. This theory provides an algebraic frame for the study of the confluence arising when the increment of a difference equation tends to 0.
dc.description65 pages
dc.identifierhttps://arxiv.org/abs/math/0203274
dc.identifierhttp://arxiv.org/abs/math/0203274
dc.identifierAnnales Scient. Éc. Norm. Sup. 34 (2001), 685--739
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63662
dc.subjectGeneral Mathematics
dc.subjectCommutative Algebra
dc.subjectQuantum Algebra
dc.subject12H05, 12H10, 12H20, 13N05, 13N10, 34M15, 81Q70, 18D10, 53C, 46L
dc.titleDifférentielles non commutatives et théorie de Galois différentielle ou aux différences
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