Regular elements of semi-simple algebraic groups

Robert Steinberg

Publications Mathématiques de l'IHÉS (1965)

  • Volume: 25, page 49-80
  • ISSN: 0073-8301

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Steinberg, Robert. "Regular elements of semi-simple algebraic groups." Publications Mathématiques de l'IHÉS 25 (1965): 49-80. <http://eudml.org/doc/103853>.

@article{Steinberg1965,
author = {Steinberg, Robert},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {group theory},
language = {eng},
pages = {49-80},
publisher = {Institut des Hautes Études Scientifiques},
title = {Regular elements of semi-simple algebraic groups},
url = {http://eudml.org/doc/103853},
volume = {25},
year = {1965},
}

TY - JOUR
AU - Steinberg, Robert
TI - Regular elements of semi-simple algebraic groups
JO - Publications Mathématiques de l'IHÉS
PY - 1965
PB - Institut des Hautes Études Scientifiques
VL - 25
SP - 49
EP - 80
LA - eng
KW - group theory
UR - http://eudml.org/doc/103853
ER -

References

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  1. [1] A. BOREL, Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes, Tôhoku Math. J., 13 (1961), 216-240. Zbl0109.26101MR26 #5094
  2. [2] S. HELGASON, Differential geometry and symmetric spaces, Academic Press, New York (1962). Zbl0111.18101MR26 #2986
  3. [3] B. KOSTANT, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math., 81 (1959), 973-1032. Zbl0099.25603MR22 #5693
  4. [4] B. KOSTANT, Lie group representations on polynomial rings, Amer. J. Math., 85 (1963), 327-404. Zbl0124.26802MR28 #1252
  5. [5] S. LANG, Algebraic groups over finite fields, Amer. J. Math., 78 (1956), 555-563. Zbl0073.37901MR19,174a
  6. [6] M. ROSENLICHT, Some rationality questions on algebraic groups, Ann. di Mat., 43 (1957), 25-50. Zbl0079.25703MR19,767h
  7. [7] M. ROSENLIGHT, On quotient varieties and the affine imbedding of certain homogeneous spaces, Trans. Amer. Math. Soc., 101 (1961), 211-223. Zbl0111.17902
  8. [8] Séminaire C. CHEVALLEY, Classification des Groupes de Lie algébriques (two volumes), Paris (1956-1958). 
  9. [9] Séminaire “Sophus Lie”, Théorie des algèbres de Lie..., Paris (1954-1955). 
  10. [10] J.-P. SERRE, Groupes algébriques et corps de classes, Hermann, Paris (1959). Zbl0097.35604MR21 #1973
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  12. [12] J.-P. SERRE, Cohomologie galoisienne des groupes algébriques linéaires, Colloque sur la théorie des groupes algébriques, Bruxelles (1962), 53-68. Zbl0145.17501MR32 #4177
  13. [13] J.-P. SERRE, Cohomologie galoisienne, Cours fait au Collège de France (1962-1963). 
  14. [14] D. A. SMITH, Dissertation, Yale University (1963). 
  15. [15] T. A. SPRINGER, Quelques résultats sur la cohomologie galoisienne, Colloque sur la théorie des groupes algébriques, Bruxelles (1962), 129-135. Zbl0145.17601MR32 #2417
  16. [16] R. STEINBERG, Finite reflection groups, Trans. Amer. Math. Soc., 91 (1959), 493-504. Zbl0092.13904MR21 #5160
  17. [17] R. STEINBERG, Representations of algebraic groups, Nagoya Math. J., 22 (1963), 33-56. Zbl0271.20019MR27 #5870
  18. [18] H. WEYL, Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen III, Math. Zeit. (1926), 377-395. Zbl52.0116.02JFM51.0319.01

Citations in EuDML Documents

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  1. Robert E. Kottwitz, Isocrystals with additional structure
  2. Tonny A. Springer, Some arithmetical results on semi-simple Lie algebras
  3. Diana Shelstad, Orbital integrals and a family of groups attached to a real reductive group
  4. Laurent Clozel, Changement de base pour les représentations tempérées des groupes réductifs réels
  5. Burt Totaro, Euler characteristics for p -adic Lie groups
  6. Cédric Bonnafé, Opérateur de torsion dans S L n ( q ) et S U n ( q )
  7. F. D. Veldkamp, The center of the universal enveloping algebra of a Lie algebra in characteristic p
  8. Peter Slodowy, A character approach to Looijenga's invariant theory for generalized root systems
  9. P. Delorme, Théorème de Paley-Wiener invariant tordu pour le changement de base /
  10. Jean-Pierre Serre, Cohomologie galoisienne : progrès et problèmes

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