Galois Theory of Linear Differential EquationsSpringer Science & Business Media, 21 janv. 2003 - 438 pages Linear differential equations form the central topic of this volume, Galois theory being the unifying theme. |
Autres éditions - Tout afficher
Galois Theory of Linear Differential Equations Marius van der Put,Michael F. Singer Aperçu limité - 2012 |
Galois Theory of Linear Differential Equations Marius van der Put,Michael F. Singer Aucun aperçu disponible - 2012 |
Expressions et termes fréquents
algebraic extension analytic Appendix basis C-algebra Chap chapter coefficients commuting companion matrix consider defined denote Der(F/C derivation ƒ differential automorphisms differential field differential Galois group differential module differential ring dimension element entries in C({z equation ǝY equations over C({z equivalent Exercise field of characteristic field of constants field of fractions fundamental matrix fundamental set G-torsor Gal(L/k Galois theory given group G homogeneous scalar homomorphism implies integer invertible matrix isomorphism k-linear derivation k[a]-modules Lemma Lie algebra linear algebraic group linear differential equations linearly dependent matrix differential equation matrix equation maximal differential ideal meromorphic minimal morphism nilpotent nonzero notation Picard-Vessiot extension Picard-Vessiot field Picard-Vessiot ring polynomial proof Proposition 1.20 Prove R₁ rational numbers scalar differential equation scalar equation set of solutions simple differential ring singular points solution space solutions of L(y tannakian categories Theorem torsor unique universal Picard-Vessiot vector space wronskian y₁