Some arithmetical results on semi-simple Lie algebras. (English) Zbl 0156.27002
References:
| [1] | S. Araki, Cohomology modulo 2 of the compact exceptional groups E6 and E7,Journal of Math. Osaka City Univ. 12 (1961), 43–65. |
| [2] | —-, Differential Hopf algebras and the cohomology mod 3 of the compact exceptional groups E7 and E8,Annals of Math. 73 (1961), 404–436. · Zbl 0147.23303 · doi:10.2307/1970339 |
| [3] | —- andY. Shikata, Cohomology mod 2 of the compact exceptional group E8,Proc. Japan Acad. 37 (1961), 619–622. · Zbl 0149.20201 · doi:10.3792/pja/1195523538 |
| [4] | A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts,Annals of Math. 57 (1953), 115–207. · Zbl 0052.40001 · doi:10.2307/1969728 |
| [5] | —-, Sur l’homologie et la cohomologie des groupes de Lie,American Journal of Math. 76 (1954), 273–342. · Zbl 0056.16401 · doi:10.2307/2372574 |
| [6] | –, Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes,Tôhoku Math. Journal, 2nd Series 13 (1961), 216–240. · Zbl 0109.26101 |
| [7] | N. Bourbaki,Algèbre, chap. VI et VII, Paris (1952). · Zbl 0049.01801 |
| [8] | E. Cartan, Sur la structure des groupes de transformations finis et continus,OEuvres I 1, Paris (1952), 137–287. |
| [9] | C. Chevalley, Sur certains groupes simples,Tôhoku Math. Journal, 2nd Series 7 (1955), 14–66. · Zbl 0066.01503 |
| [10] | –, Certains schémas de groupes semi-simples,Sém. Bourbaki, exposé no 219 (1960–61). |
| [11] | N. Jacobson,Lie algebras, Interscience (1962). · Zbl 0121.27504 |
| [12] | B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group,American Journal of Math. 81 (1959), 973–1032. · Zbl 0099.25603 · doi:10.2307/2372999 |
| [13] | —-, Lie group representations in polynomial rings, ibid., 85 (1963), 327–404. · Zbl 0124.26802 · doi:10.2307/2373130 |
| [14] | SéminaireC. Chevalley,Classification des groupes de Lie algébriques, Paris (1956–58). |
| [15] | SéminaireM. Demazure etA. Grothendieck,Schémas en groupes (1963–64). |
| [16] | J.-P. Serre, Cohomologie galoisienne,Lecture notes in mathematics, no 5, Springer-Verlag (1964). |
| [17] | R. Steinberg, Regular elements of semi-simple algebraic groups,Publications Math., I.H.E.S., no 25 (1965). · Zbl 0136.30002 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
