Some finiteness properties of adele groups over number fields

Armand Borel

Publications Mathématiques de l'IHÉS (1963)

  • Volume: 16, page 5-30
  • ISSN: 0073-8301

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Borel, Armand. "Some finiteness properties of adele groups over number fields." Publications Mathématiques de l'IHÉS 16 (1963): 5-30. <http://eudml.org/doc/103836>.

@article{Borel1963,
author = {Borel, Armand},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {finiteness properties; adele groups over number fields},
language = {eng},
pages = {5-30},
publisher = {Institut des Hautes Études Scientifiques},
title = {Some finiteness properties of adele groups over number fields},
url = {http://eudml.org/doc/103836},
volume = {16},
year = {1963},
}

TY - JOUR
AU - Borel, Armand
TI - Some finiteness properties of adele groups over number fields
JO - Publications Mathématiques de l'IHÉS
PY - 1963
PB - Institut des Hautes Études Scientifiques
VL - 16
SP - 5
EP - 30
LA - eng
KW - finiteness properties; adele groups over number fields
UR - http://eudml.org/doc/103836
ER -

References

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  1. [1] A. BOREL, Some properties of adele groups attached to algebraic groups, Bull. A.M.S., 67, (1961), p. 583-585. Zbl0119.37002MR25 #5068
  2. [2] A. BOREL, Ensembles fondamentaux pour les groupes arithmétiques, Colloque sur la théorie des groupes algébriques, Bruxelles, 1962. Zbl0161.02603MR26 #6173
  3. [3] A. BOREL, Arithmetic properties of algebraic groups, Proc. Int. Congress of Math., Stockholm, 1962. Zbl0134.16502
  4. [4] A. BOREL and HARISH-CHANDRA, Arithmetic subgroups of algebraic groups, Annals of Math. (2), 75 (1962), p. 485-535. Zbl0107.14804MR26 #5081
  5. [5] A. BOREL and J.-P. SERRE, Théorèmes de finitude en cohomologie galoisienne (en préparation). Zbl0143.05901
  6. [6] M. EICHLER, Quadratische Formen und orthogonale Gruppen, Grund. Math. Wiss., LXIII, Springer, Berlin, 1952. Zbl0049.31106MR14,540a
  7. [7] R. GODEMENT, Groupes linéaires algébriques sur un corps parfait, Sem. Bourbaki, n° 206, Paris, 1960-1961. Zbl0119.27206
  8. [8] M. KNESER, Approximation in algebraischen Gruppen, Colloque sur la théorie des groupes algébriques, Bruxelles, 1962. Zbl0171.29102
  9. [9] M. KNESER, Einfach zusammenhängende algebraische Gruppen in der Arithmetik, Proc. Int. Congress Math., Stockholm, 1962. Zbl0124.02501
  10. [10] S. LANG and J. TATE, Principal homogeneous spaces over abelian varieties, Amer. Jour. Math., 80 (1958), p. 659-684. Zbl0097.36203MR21 #4960
  11. [11] T. ONO, On some arithmetic properties of linear algebraic groups, Annals of Math. (2), 70 (1959), p. 266-290. Zbl0092.26701MR22 #5635
  12. [12] M. ROSENLICHT, Some rationality questions on algebraic groups, Annali di Mat. pura ed applic. (IV), 63 (1957), p. 25-50. Zbl0079.25703MR19,767h
  13. [13] J.-P. SERRE, Corps locaux, Publ. Math. Inst. Nancago VIII, Hermann, Paris, 1962. Zbl0137.02601MR27 #133
  14. [14] A. WEIL, Adeles and algebraic groups (Notes by M. DEMAZURE and T. ONO), The Institute for Advanced Study, Princeton, N.J., 1961. 

Citations in EuDML Documents

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  1. Clayton Petsche, Brian Stout, Global minimal models for endomorphisms of projective space
  2. Mohammed Bachir Bekka, Nicolas Louvet, On a variant of Kazhdan's property (T) for subgroups of semisimple groups
  3. Jacques Tits, Travaux de Margulis sur les sous-groupes discrets de groupes de Lie
  4. Jean-Pierre Serre, Cohomologie des groupes discrets
  5. Armand Borel, Jacques Tits, Groupes réductifs
  6. Valeri A. Gritsenko, Rainer Schulze-Pillot, Eisenstein series on four-dimensional hyperbolic space
  7. M. Karel, Eisenstein series and fields of definition
  8. A. Borel, J.-P. Labesse, J. Schwermer, On the cuspidal cohomology of S -arithmetic subgroups of reductive groups over number fields
  9. Moshe Jarden, Gopal Prasad, Appendix on the discriminant quotient formula for global field
  10. Armand Borel, Gopal Prasad, Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups

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