Abstract homomorphisms of simple algebraic groups

Robert Steinberg

Séminaire Bourbaki (1972-1973)

  • Volume: 15, page 307-326
  • ISSN: 0303-1179

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Steinberg, Robert. "Abstract homomorphisms of simple algebraic groups." Séminaire Bourbaki 15 (1972-1973): 307-326. <http://eudml.org/doc/109837>.

@article{Steinberg1972-1973,
author = {Steinberg, Robert},
journal = {Séminaire Bourbaki},
language = {eng},
pages = {307-326},
publisher = {Springer-Verlag},
title = {Abstract homomorphisms of simple algebraic groups},
url = {http://eudml.org/doc/109837},
volume = {15},
year = {1972-1973},
}

TY - JOUR
AU - Steinberg, Robert
TI - Abstract homomorphisms of simple algebraic groups
JO - Séminaire Bourbaki
PY - 1972-1973
PB - Springer-Verlag
VL - 15
SP - 307
EP - 326
LA - eng
UR - http://eudml.org/doc/109837
ER -

References

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  1. [1] E. Artin - Orders of classical simple groups, Comm. Pure Appl. Math., 8(1955), 455-472. Zbl0065.25703MR73601
  2. [2] A. Borel - Linear algebraic groups, Benjamin, New York, 1969. Zbl0186.33201MR251042
  3. [3] A. Borel et J. Tits - Groupes réductifs, Publ. Math., I.H.E.S., 27 (1965), 55-151 ; 41 (1972), 253-276. MR207712
  4. [4] A. Borel et J. Tits - Homomorphismes "abstraits" de groupes algébriques simples, Ann. of Math., to appear. Zbl0272.14013MR316587
  5. [5] E. Cartan - Sur les representations linéaires des groupes clos, Comm. Math. Helv., 2 (1930), 269-283. Zbl56.0371.01MR1509418JFM56.0371.01
  6. [6] C. Chevalley - Classification des groupes de Lie algébriques, Notes from Inst. H. Poincaré, 2 volumes, Paris (1956-58). 
  7. [7] M. Demazure et P. Gabriel - Groupes algébriques, T. I. Masson, Paris (1970). 
  8. [8] J. Dieudonné - La géométrie des groupes classiques, Second Edition, Springer Verlag, Berlin (1963). Zbl0221.20056MR158011
  9. [9] H. Freudenthal - Die Topologie der Lieschen Gruppen ..., Ann. of Math., 42 (1941), 1051-1074 ; 47 (1946), 829-830. MR5740
  10. [10] O.T. O'Meara - The automorphisms of the orthogonal groups..., Amer. J. Math., 90 (1968), 1260-1306. Zbl0186.04301MR237659
  11. [11] O. Schreier und B. L. van der Waerden - Die Automorphismen der projectiven Gruppen, Abh. Math. Sem. Hamburg, 6 (1928), 303-322. Zbl54.0149.02JFM54.0149.02
  12. [12] Séminaire "Sophus Lie" - Notes from Inst. H. Poincaré, Paris (1955). 
  13. [13] R. Steinberg - Automorphisms of finite linear groups, Canad. J. Math., 12 (1960), 606-615. Zbl0097.01703MR121427
  14. [14] R. Steinberg - Representations of algebraic groups, Nagoya Math. J., 22 (1963), 33-56. Zbl0271.20019MR155937
  15. [15] R. Steinberg - Lectures on Chevalley groups, Yale University lecture Notes, (1967). MR466335
  16. [16] J. Tits - Algebraic and abstract simple groups, Ann. of Math., 80 (1964), 313-329. Zbl0131.26501MR164968
  17. [17] J. Tits - Homomorphismes et automorphismes "abstraits" de groupes algébriques et arithmétiques, Int. Math. Congress, Nice, 2 (1970), 349-355. Zbl0246.20038MR432777
  18. [18] J. Tits - Homomorphismes "abstraits" de groupes de Lie, to appear. Zbl0291.22009MR379749
  19. [19] B. L. van der Waerden - Stetigkeitssätze für halb-einfache Liesche Gruppen, Math. Zeit.36 (1933), 780-786. Zbl0006.39205

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