Some arithmetical results on semi-simple lie algebras

@article{Springer1966SomeAR,
  title={Some arithmetical results on semi-simple lie algebras},
  author={Tonny Albert Springer},
  journal={Publications Math{\'e}matiques de l'Institut des Hautes {\'E}tudes Scientifiques},
  year={1966},
  volume={30},
  pages={115-141}
}
  • T. A. Springer
  • Published 1 December 1966
  • Mathematics
  • Publications Mathématiques de l'Institut des Hautes Études Scientifiques
© Publications mathématiques de l’I.H.É.S., 1966, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http:// www.ihes.fr/IHES/Publications/Publications.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. 

Tables from this paper

The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1972, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.
The centralizer of a regular unipotent element in a semisimple algebraic group
2. David Kleinecke, Almost-finite, compact and inessential operators, Proc. Amer. Math. Soc. 14 (1963), 863-868. 3. S. R. Caradus, Operator ofRiesztype, Pacific J. Math. 18 (1966), 61-71. 4. I. C.
On the unramified spherical automorphic spectrum
This thesis contains two results on harmonic analysis of reductive groups. First, let G be connected and defined over a number field F, A be the ring of adeles and K be a maximal compact subgroup of
Le lemme fondamental pour les algebres de Lie
We propose a proof for conjectures of Langlands, Shelstad and Waldspurger known as the fundamental lemma for Lie algebras and the non-standard fundamental lemma. The proof is based on a study of the
A note on Humphreys' conjecture on blocks
Humphreys’ conjecture on blocks parametrises the blocks of reduced enveloping algebras Uχ(g), where g is the Lie algebra of a reductive algebraic group over an algebraically closed field of
Representations of Lie algebras in prime characteristic
The aim of these lectures is to give a survey on the representation theory of Lie algebras of reductive groups in prime characteristic. This theory is quite different from the corresponding theory in
Centers of Centralizers of Unipotent Elements in Exceptional Algebraic Groups
Keywords: algebraic groups ; exceptional groups ; unipotent classes ; double centralizers ; bad characteristic These Ecole polytechnique federale de Lausanne EPFL, n° 5789 (2013)Programme doctoral
Notes on regular unipotent and nilpotent elements
Here we summarize the basic facts about regular unipotent elements of a connected semisimple algebraic group G and regular nilpotent elements of its Lie algebra g = Lie G. Here we work with group
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 16 REFERENCES
The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
Let g be a complex simple Lie algebra and let G be the adjoint group of g. It is by now classical that the Poincare polynomial p G (t) of G factors into the form
Regular elements of semi-simple algebraic groups
  • Publications Math., I.H.E.S., n°
  • 1965
GROTHENDIECK, Schemas en groupes (1963-64)
  • 1963
SHIKATA, Gohomology mod 2 of the compact exceptional group Eg
  • Proc. Japan Acad
  • 1961
CHEVALLEY, Classification des groupes de Lie algebriques, Paris (1956-58)
  • 1956
...
1
2
...