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Borel, Armand; Tits, Jacques

Groupes reductifs. (French) Zbl 0145.17402

Publ. Math., Inst. Hautes Étud. Sci. 27, 659-755 (1965).
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Cited in 7 Reviews
Cited in 403 Documents

Keywords:

algebraic geometry
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References:

[1] Borel (A.), Groupes linéaires algébriques,Annals of Math. (2),64, 1956, 20–80. · Zbl 0070.26104 · doi:10.2307/1969949
[2] — Ensembles fondamentaux pour les groupes arithmétiques,Coll. sur la théorie des groupes algébriques, Bruxelles, 1962, 23–40.
[3] — Some finiteness properties of adele groups over number fields,Publ. Math., I.H.E.S., no 16 (1963), 101–126. · Zbl 0135.08902
[4] Borel (A.) etHarish-Chandra, Arithmetic subgroups of algebraic groups,Annals of Math. (2),75 (1962), 485–535. · Zbl 0107.14804 · doi:10.2307/1970210
[5] Borel (A.) etSerre (J.-P.), Théorèmes de finitude en cohomologie galoisienne,Comm. Math. Helv., 39 (1964), 111–164. · Zbl 0143.05901 · doi:10.1007/BF02566948
[6] Bourbaki (N.),Groupes et algèbres de Lie, chap. II: “Systèmes de racines{”(à paraître).}
[7] Chevalley (C.),Theory of Lie groups, Princeton University Press, Princeton 1946. · Zbl 0063.00842
[8] ——Théorie des groupes de Lie, II: “Groupes algébriques{”, Act. Sci. Ind., no 1151, Hermann, Paris, 1951; III: “Théorèmes généraux sur les algèbres de Lie{”, Act. Sci. Ind., no 1226, Hermann, Paris, 1955.}}
[9] —— Sur certains groupes simples,Tohoku Math. Jour. (2),7 (1955), 14–66. · Zbl 0066.01503 · doi:10.2748/tmj/1178245104
[10] —Séminaire sur la classification des groupes de Lie algébriques, 2 vol., Paris, 1958 (notes polycopiées).
[11] Demazure (M.) etGrothendieck (A.),Schémas en groupes, I.H.E.S., 1964 (notes polycopiées).
[12] Godement (R.), Groupes linéaires algébriques sur un corps parfait,Sém. Bourbaki, no 206, Paris, 1960.
[13] Helgason (S.),Differential Geometry and Symmetric Spaces, Acad. Press, New York, 1962. · Zbl 0111.18101
[14] Jacobson (N.),Lie algebras, Intersc. tracts in pure math.,10, Interscience publ., New York, 1962.
[15] Kneser (M.), Erzeugende und Relationen verallgemeinerter Einheitsgruppen,Jour. f. reine u. ang. Mat., 214/15 (1964), 345–349. · Zbl 0141.02603 · doi:10.1515/crll.1964.214-215.345
[16] Lang (S.), Algebraic groups over finite fields,Amer. J. Math., 78 (1956), 555–563. · Zbl 0073.37901 · doi:10.2307/2372673
[17] ——Introduction to algebraic geometry, Intersc. tracts in pure math.,5, Interscience publ., New York, 1958.
[18] Matsumoto (H.), Quelques remarques sur les groupes algébriques réels,Proc. Japan. Ac., 40 (1964), 4–7. · Zbl 0163.27501 · doi:10.3792/pja/1195522863
[19] —— Self-adjoint group,Ann. of Math. (2),62 (1955), 44–45. · Zbl 0065.01404 · doi:10.2307/2007099
[20] Mostow (G. D.), Fully reducible subgroups of algebraic groups,Amer. Jour. Math., 78 (1956), 200–221. · Zbl 0073.01603 · doi:10.2307/2372490
[21] Ono (T.), Arithmetic of algebraic tori,Ann. of Math., (2),74 (1961), 101–139. · Zbl 0119.27801 · doi:10.2307/1970307
[22] Rosenlicht (M.), Some basic theorems on algebraic groups,Amer. Jour. Math., 78 (1956), 401–443. · Zbl 0073.37601 · doi:10.2307/2372523
[23] —— Some rationality questions on algebraic groups,Annali di Mat. (IV),43 (1957), 25–50. · Zbl 0079.25703 · doi:10.1007/BF02411903
[24] —— Extensions of vector groups by abelian varieties,Amer. Jour. Math., 80 (1958), 685–714. · Zbl 0091.33303 · doi:10.2307/2372779
[25] —— On quotient varieties and the affine embedding of certain homogeneous spaces,Trans. Amer. Math. Soc., 101 (1961), 211–223. · Zbl 0111.17902 · doi:10.1090/S0002-9947-1961-0130878-0
[26] —— Questions of rationality for solvable algebraic groups over nonperfect fields,Annali di Math. (IV),61 (1963), 97–120. · Zbl 0126.16901 · doi:10.1007/BF02412850
[27] Satake (I.), On representations and compactifications of symmetric Riemannian spaces,Annals of Math. (2),71 (1960), 77–110. · Zbl 0094.34603 · doi:10.2307/1969880
[28] —— On the theory of reductive algebraic groups over a perfect field,Jour. Math. Soc. Japan, 15 (1963), 210–235. · Zbl 0123.25201 · doi:10.2969/jmsj/01520210
[29] Serre (J.-P.), Représentations linéaires et espaces homogènes kähleriens des groupes de Lie compacts,Sém. Bourbaki, no 100, Paris, 1954.
[30] ——Corps locaux, Act. Sci. Ind., no 1296, Paris, Hermann, 1962. · Zbl 0137.02601
[31] Tits (J.), Sur certaines classes d’espaces homogènes de groupes de Lie,Mém. Acad. Royale Belgique, 29 (3) (1955). · Zbl 0067.12301
[32] —— Sur la classification des groupes algébriques semi-simples,C.R. Acad. Sci. Paris, 249 (1959), 1438–1440. · Zbl 0201.36701
[33] —— Théorème de Bruhat et sous-groupes paraboliques,C.R. Acad. Sci. Paris, 254 (1962), 2910–2912. · Zbl 0105.02201
[34] —— Groupes algébriques semi-simples et géométries associées,Coll. alg. top. found. geom. Utrecht (1959), 175–192, Pergamon Press, Oxford, 1962.
[35] — Groupes semi-simples isotropes,Coll. sur la théorie des groupes algébriques, Bruxelles, 1962, 137–147.
[36] — Groupes simples et géométries associées,Proc. Int. Congr. Math. Stockholm, 1962, 197–221.
[37] Weil (A.), The field of definition of a variety,Amer. Jour. Math., 78 (1956), 509–524. · Zbl 0072.16001 · doi:10.2307/2372670
[38] ——Adeles and algebraic groups (Notes byM. Demazure andT. Ono), The Institute for Advanced Study, Princeton, 1961.
[39] —Foundations of algebraic geometry, Amer. Math. Soc. Colloquium Publ., no 29, 2e éd., 1962. · Zbl 0168.18701
[40] Whitney (H.), Elementary structure of real algebraic varieties,Annals of Math. (2),66 (1957), 545–556. · Zbl 0078.13403 · doi:10.2307/1969908
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