Some arithmetical results on semi-simple Lie algebras

Tonny A. Springer

Publications Mathématiques de l'IHÉS (1966)

  • Volume: 30, page 115-141
  • ISSN: 0073-8301

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Springer, Tonny A.. "Some arithmetical results on semi-simple Lie algebras." Publications Mathématiques de l'IHÉS 30 (1966): 115-141. <http://eudml.org/doc/103866>.

@article{Springer1966,
author = {Springer, Tonny A.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {generalized rings, nonassociative rings},
language = {eng},
pages = {115-141},
publisher = {Institut des Hautes Études Scientifiques},
title = {Some arithmetical results on semi-simple Lie algebras},
url = {http://eudml.org/doc/103866},
volume = {30},
year = {1966},
}

TY - JOUR
AU - Springer, Tonny A.
TI - Some arithmetical results on semi-simple Lie algebras
JO - Publications Mathématiques de l'IHÉS
PY - 1966
PB - Institut des Hautes Études Scientifiques
VL - 30
SP - 115
EP - 141
LA - eng
KW - generalized rings, nonassociative rings
UR - http://eudml.org/doc/103866
ER -

References

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  1. [1] S. ARAKI, Cohomology modulo 2 of the compact exceptional groups E6 and E7, Journal of Math. Osaka City Univ. 12 (1961), 43-65. Zbl0121.39801MR26 #5093
  2. [2] S. ARAKI, Differential Hopf algebras and the cohomology mod 3 of the compact exceptional groups E7 and E8, Annals of Math. 73 (1961), 404-436. Zbl0147.23303MR23 #A1372
  3. [3] S. ARAKI and Y. SHIKATA, Cohomology mod 2 of the compact exceptional group E8, Proc. Japan Acad. 37 (1961), 619-622. Zbl0149.20201MR26 #787
  4. [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. Zbl0052.40001MR14,490e
  5. [5] A. BOREL, Sur l'homologie et la cohomologie des groupes de Lie, American Journal of Math. 76 (1954), 273-342. Zbl0056.16401MR16,219b
  6. [6] A. BOREL, Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes, Tôhoku Math. Journal, 2nd Series 13 (1961), 216-240. Zbl0109.26101MR26 #5094
  7. [7] N. BOURBAKI, Algèbre, chap. VI et VII, Paris (1952). 
  8. [8] E. CARTAN, Sur la structure des groupes de transformations finis et continus, Oeuvres I 1, Paris (1952), 137-287. 
  9. [9] C. CHEVALLEY, Sur certains groupes simples, Tôhoku Math. Journal, 2nd Series 7 (1955), 14-66. Zbl0066.01503MR17,457c
  10. [10] C. CHEVALLEY, Certains schémas de groupes semi-simples, Sém. Bourbaki, exposé n° 219 (1960-1961). Zbl0125.01705
  11. [11] N. JACOBSON, Lie algebras, Interscience (1962). Zbl0121.27504
  12. [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. Zbl0099.25603MR22 #5693
  13. [13] B. KOSTANT, Lie group representations in polynomial rings, ibid., 85 (1963), 327-404. Zbl0124.26802MR28 #1252
  14. [14] Séminaire C. CHEVALLEY, Classification des groupes de Lie algébriques, Paris (1956-1958). Zbl0092.26301
  15. [15] Séminaire M. DEMAZURE et A. GROTHENDIECK, Schémas en groupes (1963-1964). 
  16. [16] J.-P. SERRE, Cohomologie galoisienne, Lecture notes in mathematics, n° 5, Springer-Verlag (1964). Zbl0128.26303
  17. [17] R. STEINBERG, Regular elements of semi-simple algebraic groups, Publications Math., I.H.E.S., n° 25 (1965). Zbl0136.30002MR31 #4788

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