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Volumn 34, Issue 5, 2001, Pages 685-739

Différentielles non commutatives et théorie de Galois différentielle ou aux différences

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EID: 0001498676     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(01)01074-6     Document Type: Article
Times cited : (78)

References (49)
  • 1
    • 0042699608 scopus 로고
    • Quatre descriptions des groupes de Galois différentiels
    • Springer-Verlag. pp. 28-41
    • André Y. Quatre descriptions des groupes de Galois différentiels. Sém. d'algèbre de Paris 86/87, Lect. Notes in Math. 1296:1987;Springer-Verlag. pp. 28-41.
    • (1987) Sém. d'Algèbre de Paris 86/87, Lect. Notes in Math. , vol.1296
    • André, Y.1
  • 3
    • 0010110524 scopus 로고    scopus 로고
    • Pour une théorie inconditionnelle des motifs
    • André Y. Pour une théorie inconditionnelle des motifs. Publ. Math. Inst. Hautes Études Sci. 83:1996;5-49.
    • (1996) Publ. Math. Inst. Hautes Études Sci. , vol.83 , pp. 5-49
    • André, Y.1
  • 4
    • 0000605091 scopus 로고
    • Q -analogue of de Rham cohomology associated with Jackson integrals
    • Aomoto K. q -analogue of de Rham cohomology associated with Jackson integrals. Proc. Japan Acad. 66:1990;161-164.
    • (1990) Proc. Japan Acad. , vol.66 , pp. 161-164
    • Aomoto, K.1
  • 5
    • 0003293668 scopus 로고
    • Notes on Crystalline Cohomology
    • Princeton Univ. Press
    • Berthelot P., Ogus A. Notes on Crystalline Cohomology. Math. Notes. 21:1978;Princeton Univ. Press.
    • (1978) Math. Notes , vol.21
    • Berthelot, P.1    Ogus, A.2
  • 7
    • 0002375037 scopus 로고
    • Differential Galois theory
    • M. Waldschmidt, P. Moussa, J.M. Luck, & C. Itzykson. Springer-Verlag
    • Beukers F. Differential Galois theory. Waldschmidt M., Moussa P., Luck J.M., Itzykson C. From Number Theory to Physics. 1992;Springer-Verlag.
    • (1992) From Number Theory to Physics
    • Beukers, F.1
  • 8
    • 0013536602 scopus 로고
    • On Galois theory of fields with operators
    • Bialynicki-Birula. On Galois theory of fields with operators. Amer. J. Math. 84:1962;89-109.
    • (1962) Amer. J. Math. , vol.84 , pp. 89-109
    • Bialynicki-Birula1
  • 9
    • 0004150533 scopus 로고
    • Masson. chapitres III, IV et X
    • Bourbaki N. Algèbre. 1981;Masson. chapitres III, IV et X.
    • (1981) Algèbre
    • Bourbaki, N.1
  • 11
    • 21844482129 scopus 로고
    • Théorie tannakienne non commutative
    • Bruguières A. Théorie tannakienne non commutative. Comm. Algebra. 22:(14):1994;5817-5860.
    • (1994) Comm. Algebra , vol.22 , Issue.14 , pp. 5817-5860
    • Bruguières, A.1
  • 13
    • 0038895071 scopus 로고
    • Free Rings and their Relations
    • Academic Press
    • Cohn P. Free Rings and their Relations. London Math. Soc. Monogr. 2:1971;Academic Press.
    • (1971) London Math. Soc. Monogr. , vol.2
    • Cohn, P.1
  • 18
    • 0003140463 scopus 로고
    • Le groupe fondamental de la droite projective moins trois points
    • Deligne P. Le groupe fondamental de la droite projective moins trois points. Galois Groups over Q . M.S.R.I. Publ. 16:1989;79-297.
    • (1989) Galois Groups over Q M.S.R.I. Publ. , vol.16 , pp. 79-297
    • Deligne, P.1
  • 19
    • 0000275115 scopus 로고
    • Catégories tannakiennes
    • Birkhäuser P.M. 87. pp. 111-198
    • Deligne P. Catégories tannakiennes. Grothendieck Festschrift. 2:1990;Birkhäuser P.M. 87. pp. 111-198.
    • (1990) Grothendieck Festschrift , vol.2
    • Deligne, P.1
  • 20
    • 0003333971 scopus 로고
    • Tannakian categories
    • Springer-Verlag. pp. 101-228
    • Deligne P., Milne J. Tannakian categories. Lect. Notes in Math. 900:1982;Springer-Verlag. pp. 101-228.
    • (1982) Lect. Notes in Math. , vol.900
    • Deligne, P.1    Milne, J.2
  • 21
    • 0012982369 scopus 로고    scopus 로고
    • On the first order operators in bimodules
    • Dubois-Violette M., Masson T. On the first order operators in bimodules. Lett. Math. Phys. 37:1996;464-474.
    • (1996) Lett. Math. Phys. , vol.37 , pp. 464-474
    • Dubois-Violette, M.1    Masson, T.2
  • 22
    • 3543143279 scopus 로고    scopus 로고
    • Some aspects of noncommutative differential geometry
    • pp. 145-157
    • Dubois-Violette M. Some aspects of noncommutative differential geometry. Contemporary Math. 203:1997;. pp. 145-157.
    • (1997) Contemporary Math. , vol.203
    • Dubois-Violette, M.1
  • 23
    • 0001298067 scopus 로고
    • Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences
    • Duval A. Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences. Funkcial. Ekvac. 26:1983;349-368.
    • (1983) Funkcial. Ekvac. , vol.26 , pp. 349-368
    • Duval, A.1
  • 24
    • 0009267913 scopus 로고
    • Foliations and inseparable morphisms
    • Ekedahl T. Foliations and inseparable morphisms. Proc. Symp. Pure Math. 46:1987;139-149.
    • (1987) Proc. Symp. Pure Math. , vol.46 , pp. 139-149
    • Ekedahl, T.1
  • 25
    • 0043200667 scopus 로고
    • Extensions galoisiennes d'algèbres différentielles
    • Fahim A. Extensions galoisiennes d'algèbres différentielles. C. R. Acad. Sci. Paris, Série A. 314:1992;1-4.
    • (1992) C. R. Acad. Sci. Paris, Série a , vol.314 , pp. 1-4
    • Fahim, A.1
  • 27
    • 0002573178 scopus 로고
    • Galois calculus and Carlitz exponentials
    • D. Goss, D. Hayes, & M. Rosen. de Gruyter
    • Hellegouarch Y. Galois calculus and Carlitz exponentials. Goss D., Hayes D., Rosen M. The Arithmetic of Function Fields. 1992;33-50 de Gruyter.
    • (1992) The Arithmetic of Function Fields , pp. 33-50
    • Hellegouarch, Y.1
  • 28
    • 0001506343 scopus 로고
    • Homologie cyclique et K -théorie
    • Soc. Math. France
    • Karoubi M. Homologie cyclique et K -théorie. Astérisque. 149:1987;Soc. Math. France.
    • (1987) Astérisque , vol.149
    • Karoubi, M.1
  • 29
    • 21844505282 scopus 로고
    • Formes différentielles non commutatives et cohomologie à coefficients arbitraires
    • Karoubi M. Formes différentielles non commutatives et cohomologie à coefficients arbitraires. Trans. Amer. Math. Soc. 347:(11):1995;4277-4299.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , Issue.11 , pp. 4277-4299
    • Karoubi, M.1
  • 30
    • 51649183632 scopus 로고
    • Nilpotent connections and the monodromy theorem. Applications of a result of Turrittin
    • Katz N. Nilpotent connections and the monodromy theorem. Applications of a result of Turrittin. Publ. Math. Inst. Hautes Études Sci. 39:1970;175-232.
    • (1970) Publ. Math. Inst. Hautes Études Sci. , vol.39 , pp. 175-232
    • Katz, N.1
  • 31
    • 0003323999 scopus 로고
    • Exponential Sums and Differential Equations
    • Princeton
    • Katz N. Exponential Sums and Differential Equations. Annals of Math. Studies. 124:1990;Princeton.
    • (1990) Annals of Math. Studies , vol.124
    • Katz, N.1
  • 33
    • 0002007894 scopus 로고
    • Algebraic matrix groups and the Picard-Vessiot theory of linear ordinary differential equations
    • Kolchin E. Algebraic matrix groups and the Picard-Vessiot theory of linear ordinary differential equations. Ann. of Math. 49:1948;1-42.
    • (1948) Ann. of Math. , vol.49 , pp. 1-42
    • Kolchin, E.1
  • 34
    • 22644450827 scopus 로고    scopus 로고
    • These are the differentials of order n
    • Laksov D., Thorup A. These are the differentials of order n . Trans. Amer. Math. Soc. 351:(4):1999;1293-1353.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , Issue.4 , pp. 1293-1353
    • Laksov, D.1    Thorup, A.2
  • 35
    • 0000622603 scopus 로고
    • Differential Galois theory and tensor products
    • Levelt A. Differential Galois theory and tensor products. Indag. Math. N.S. 1:1990;439-450.
    • (1990) Indag. Math. N.S. , vol.1 , pp. 439-450
    • Levelt, A.1
  • 38
    • 36149032915 scopus 로고
    • Linear connections in noncommutative geometry
    • Mourad J. Linear connections in noncommutative geometry. Class. Quant. Grav. 12:1995;965-974.
    • (1995) Class. Quant. Grav. , vol.12 , pp. 965-974
    • Mourad, J.1
  • 39
    • 0001798738 scopus 로고    scopus 로고
    • Noncommutative descent and non-abelian cohomology
    • Nuss P. Noncommutative descent and non-abelian cohomology. K -Theory. 12:1997;23-74.
    • (1997) K -theory , vol.12 , pp. 23-74
    • Nuss, P.1
  • 40
    • 0039684093 scopus 로고
    • The formal classification of linear difference operators
    • Praagman C. The formal classification of linear difference operators. Proc. Kon. Ned. Ac. Wet. Ser. A. 86:1983;249-261.
    • (1983) Proc. Kon. Ned. Ac. Wet. Ser. a , vol.86 , pp. 249-261
    • Praagman, C.1
  • 41
  • 42
    • 0032621281 scopus 로고    scopus 로고
    • Matrice de connexion d'un système aux q -différences confluant vers un système différentiel de matrices de monodromie
    • Sauloy J. Matrice de connexion d'un système aux q -différences confluant vers un système différentiel de matrices de monodromie. C. R. Acad. Sci. Paris, Série I. 328:1999;155-160.
    • (1999) C. R. Acad. Sci. Paris, Série I , vol.328 , pp. 155-160
    • Sauloy, J.1
  • 44
    • 0033449711 scopus 로고    scopus 로고
    • General formulation of quantum analysis
    • Suzuki. General formulation of quantum analysis. Rev. Math. Physics. 11:(2):1999;243-265.
    • (1999) Rev. Math. Physics , vol.11 , Issue.2 , pp. 243-265
    • Suzuki1
  • 45
    • 0002149396 scopus 로고
    • Über der Dualitätssatz der nichtkommutative topologischen Gruppen
    • Tannaka T. Über der Dualitätssatz der nichtkommutative topologischen Gruppen. Tôhoku Math. J. 45:1939;1-12.
    • (1939) Tôhoku Math. J. , vol.45 , pp. 1-12
    • Tannaka, T.1
  • 46
    • 0003192021 scopus 로고    scopus 로고
    • Geometry of q -Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups
    • Soc. Math. France
    • Tarasov V., Varchenko A. Geometry of q -Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups. Astérisque. 246:1997;Soc. Math. France.
    • (1997) Astérisque , vol.246
    • Tarasov, V.1    Varchenko, A.2
  • 47
    • 0001299254 scopus 로고
    • Differential equations in characteristic p
    • van der Put M. Differential equations in characteristic p . Compositio Math. 97:1995;227-251.
    • (1995) Compositio Math. , vol.97 , pp. 227-251
    • Van Der Put, M.1
  • 48
    • 0003280524 scopus 로고    scopus 로고
    • Galois Theory of Difference Equations
    • Springer-Verlag
    • van der Put M., Singer M. Galois Theory of Difference Equations. Lect. Notes Math. 1666:1997;Springer-Verlag.
    • (1997) Lect. Notes Math. , vol.1666
    • Van Der Put, M.1    Singer, M.2
  • 49
    • 0003194872 scopus 로고
    • Foundations of Differentiable Manifolds and Lie Groups
    • Springer-Verlag
    • Warner F. Foundations of Differentiable Manifolds and Lie Groups. Graduate Texts in Math. 94:1971;Springer-Verlag.
    • (1971) Graduate Texts in Math. , vol.94
    • Warner, F.1


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