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Formes quadratiques, groupes orthogonaux et algèbres de Clifford. (French) Zbl 0155.05202

Keywords:
group theory
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References:
[1] Albert, A.A.: Structure of algebras. A.M.S. Colloquium Publications, vol. 24, 1939. · Zbl 0023.19901
[2] Borel, A., etJ. Tits: Groupes réductifs. Publ. Math. I.H.E.S.27, 55-151 (1965).
[3] Bourbaki, N.: Algèbre, chap. 8: Modules et anneaux semi-simples. Actu. Sci. et Ind., No. 1261. Paris: Hermann 1958.
[4] Chevalley, C.: The algebraic theory of spinors. New York: Columbia U. Press 1954. · Zbl 0057.25901
[5] Demazure, M., etA. Grothendieck: Schémas en groupes. Séminaire de Géom. Alg., I.H.E.S., Paris, 1963/64.
[6] Dieudonné, J.: La géométrie des groupes classiques. Ergebnisse d. Math., N.F. 5, 2e ed. Berlin-Göttingen-Heidelberg: Springer 1963. · Zbl 0111.03102
[7] Jacobson, N.: Clifford algebras for algebras with involution of typeD. Journal of Algebra1, 288-300 (1964). · Zbl 0135.07401
[8] Klingenberg, W., u.E. Witt: Über die Arfsche Invariante quadratischer Formen mod 2. J. reine angew. Math.193, 121-122 (1954). · Zbl 0056.25301
[9] Kneser, M.: Bestimmung des Zentrums der Cliffordschen Algebren einer quadratischen Form über einem Körper der Charakteristik 2. J. reine angew. Math.193, 123-125 (1954). · Zbl 0056.25302
[10] Seip-Hornix, E. A. M.: Clifford algebras of quadratic quaternion forms. Proc. Kon. Ned. Akad. Wet. A68, 326-363 (1965). · Zbl 0128.24602
[11] Serre, J. P.: Cohomologie galoisienne. Lecture Notes in Math. No. 5. Berlin-Heidelberg-New York: Springer 1964. · Zbl 0143.05901
[12] Springer, T. A.: Note on quadratic forms in characteristic 2. Nieuw Archief voor Wiskunde (3),10, 1-10 (1962). · Zbl 0104.01701
[13] Tits, J.: Classification of algebraic semisimple groups. Proc. Symp. Pure Math., vol. 9 (Algebraic groups and discontinuous subgroups), Amer. Math. Soc. 1966, 33-62. Voir aussi
[14] Tits, J.: Même titre. Notes de séminaire, Yale University, 1967, à paraître.
[15] van Drooge, D. C.: Spinor theory of quadratic quaternion forms. Proc. Kon. Ned. Akad. Wet. A70, 487-523 (1967). · Zbl 0173.02801
[16] Weil, A.: Algebras with involution and the classical groups. J. Indian Math. Soc.24, 589-623 (1960). · Zbl 0109.02101
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