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Sophus Lie, Friedrich Engel et le problème de Riemann ... - DMA - Ens

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Bibliographie 319[41] <strong>Engel</strong>, F. ; <strong>Lie</strong>, S. : Theorie <strong>de</strong>r transformationsgruppen. Zweiter Abschnitt. UnterMitwirkung von Dr. <strong>Friedrich</strong> <strong>Engel</strong>, bearbeit<strong>et</strong> von <strong>Sophus</strong> <strong>Lie</strong>, Verlag und Druckvon B.G. Teubner, Leipzig und Berlin, viii+559 pp. (1890). Reprinted by ChelseaPublishing Co., New York, N.Y. (1970)[42] <strong>Engel</strong>, F. ; <strong>Lie</strong>, S. : Theorie <strong>de</strong>r transformationsgruppen. Dritter und l<strong>et</strong>zter Abschnitt.Unter Mitwirkung von Dr. <strong>Friedrich</strong> <strong>Engel</strong>, bearbeit<strong>et</strong> von <strong>Sophus</strong> <strong>Lie</strong>, Verlagund Druck von B.G. Teubner, Leipzig und Berlin, xxix+836 pp. (1890). Reprintedby Chelsea Publishing Co., New York, N.Y. (1970)[43] van <strong>de</strong>n Essen, A. : Polynomial automorphisms and the Jacobian conjecture,Progress in Mathematics, 190, Birkhäuser Verlag, Basel, 2000, xviii+329 pp.[44] Escofier, J.-P. : Galois theory. Graduate Texts in Mathematics, 204. Springer-Verlag, New York, 2001. xiv+280 pp.[45] Farwell, R. ; Knee, C. : The geom<strong>et</strong>ric chal<strong>le</strong>nge of <strong>Riemann</strong> and Clifford, pp. 98–106 in [18].[46] Flament, D. : La Linea<strong>le</strong> Aus<strong>de</strong>hnungs<strong>le</strong>hre (1844) <strong>de</strong> Hermann Günther Grassmann,pp. 205–221 in [18].[47] Flament, D. : Histoire <strong>de</strong>s nombres comp<strong>le</strong>xes. Entre algèbre <strong>et</strong> géométrie, CNRSÉditions, Paris, 2003, 501 pp.[48] Flament, D. ; Kouneiher, J. ; Nabonnand, P. ; Szczeciniarz, J.-J. : Géométrieau XX ème sièc<strong>le</strong>, 1950–2000. Histoire <strong>et</strong> horizons, Hermann Éditeurs, Paris, 2005,424 pp.[49] Freu<strong>de</strong>nthal, H. : <strong>Riemann</strong>, Georg <strong>Friedrich</strong> Bernhard, in Dictionary of scientificbiography, vol. 11, New York, 447–456.[50] Freu<strong>de</strong>nthal, H. : Neuere Fassungen <strong>de</strong>s <strong>Riemann</strong>-Helmholtz-<strong>Lie</strong>schen Raumprob<strong>le</strong>ms,Math. Zeitschr. Bd. 63, S. 374–405 (1956).[51] Freu<strong>de</strong>nthal, H. : Die Grundlagen <strong>de</strong>r Geom<strong>et</strong>rie um die Wen<strong>de</strong> <strong>de</strong>s 19. Jahrhun<strong>de</strong>rts,Semesterberichte Münster 7 (1960/61), 2–25.[52] Freu<strong>de</strong>nthal, H. : The main trends in the foundations of geom<strong>et</strong>ry in the 19 th century,pp. 613–622 in Proceedings of the 1960 international congress for logic, m<strong>et</strong>hodologyand philosophy of science, Stanford, California, Aug. 24–Sept. 2, 1960,Stanford Univ. Press.[53] Freu<strong>de</strong>nthal, H. : <strong>Lie</strong> groups in the foundations of geom<strong>et</strong>ry, Advances in Mathematics1 (1964), n o 2, 145–190.[54] Frobenius, G. : Über das Pfaffsche Prob<strong>le</strong>m, J. für die reine u. angew. Math. 82(1877), 230–315 [Abhandlungen 1, 249–334].[55] Galois, É. : Œuvres mathématiques, publiées sous <strong>le</strong>s auspices <strong>de</strong> la Société Mathématique<strong>de</strong> France, Gauthier-Villars, Paris, 1897. Deuxième édition revue <strong>et</strong>corrigée, 1951.[56] Gardner, R.B. : The m<strong>et</strong>hod of equiva<strong>le</strong>nce and its applications, CBMS-NSF RegionalConference Series in Applied Mathematics 58 (SIAM, Phila<strong>de</strong>lphia, 1989),127 pp.[57] Gauss, C.F. : Anzeige : Disquisitiones genera<strong>le</strong>s circa superficies curvas, Gött.Gel. Anz. (1827), 1761–68. Werke IV, 341–47.[58] Gauss, C.F. : Disquisitiones genera<strong>le</strong>s circa superficies curvas, Commentatiosoci<strong>et</strong>atis regiae scientarum Gottingensis recentiores 6 (1828) ; Werke, vol. 4,pp. 217–258. Traduction en français par M.E. Roger, Albert Blanchard, Paris, 1967.Reprinted, translated in English and commented in [39].[59] Gauss, C.F. : Werke, 14 vols., B.G. Teubner, Leipzig, 1863–1933. Reprinted in 12vols., Hil<strong>de</strong>sheim, Olms, 1981.[60] Golubitski, M. : Primitive actions and maximal subgroups of <strong>Lie</strong> groups, J. DifferentialGeom. 7 (1972), 175–191.[61] Gonzá<strong>le</strong>z López, A. ; Kamran, N. ; Olver, P.J. : <strong>Lie</strong> algebras of vector fields inthe real plane, Proc. London Math. Soc. 64 (1992), n o 2, 339–368.

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