Galois-fixed points in the Bruhat-Tits building of a reductive group

Gopal Prasad

Bulletin de la Société Mathématique de France (2001)

  • Volume: 129, Issue: 2, page 169-174
  • ISSN: 0037-9484

Abstract

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We give a new proof of a useful result of Guy Rousseau on Galois-fixed points in the Bruhat-Tits building of a reductive group.

How to cite

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Prasad, Gopal. "Galois-fixed points in the Bruhat-Tits building of a reductive group." Bulletin de la Société Mathématique de France 129.2 (2001): 169-174. <http://eudml.org/doc/272322>.

@article{Prasad2001,
abstract = {We give a new proof of a useful result of Guy Rousseau on Galois-fixed points in the Bruhat-Tits building of a reductive group.},
author = {Prasad, Gopal},
journal = {Bulletin de la Société Mathématique de France},
keywords = {reductive group; Bruhat-Tits building; Galois fixed points},
language = {eng},
number = {2},
pages = {169-174},
publisher = {Société mathématique de France},
title = {Galois-fixed points in the Bruhat-Tits building of a reductive group},
url = {http://eudml.org/doc/272322},
volume = {129},
year = {2001},
}

TY - JOUR
AU - Prasad, Gopal
TI - Galois-fixed points in the Bruhat-Tits building of a reductive group
JO - Bulletin de la Société Mathématique de France
PY - 2001
PB - Société mathématique de France
VL - 129
IS - 2
SP - 169
EP - 174
AB - We give a new proof of a useful result of Guy Rousseau on Galois-fixed points in the Bruhat-Tits building of a reductive group.
LA - eng
KW - reductive group; Bruhat-Tits building; Galois fixed points
UR - http://eudml.org/doc/272322
ER -

References

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  1. [1] Borel ( A.), Springer ( T.A.) – Rationality properties of linear Algebraic groups II, Tohoku Math. J., 20 (1968), pp.443–497. Zbl0211.53302MR244259
  2. [2] Bruhat ( F.), Tits ( J.) – Groupes réductifs sur un corps local II, Publ. Math. IHES 46, 1984. Zbl0254.14017
  3. [3] Prasad ( G.), Raghunathan ( M.S.) – Topological central extensions of semi-simple groups over local fields, Ann. Math.119 (1984), pp.143–268. Zbl0552.20025MR736564
  4. [4] Rousseau ( G.) – Immeubles des groupes réductifs sur les corps locaux, Thèse Université de Paris-Sud, Orsay, 1977. Zbl0412.22006
  5. [5] Serre ( J.-P.) – Local Fields, Graduate Texts in Mathematics, Springer-Verlag, New York, 1979. Zbl0423.12016MR554237
  6. [6] Steinberg ( R.) – Regular elements of semi-simple groups, Publ. Math. IHES 25, 1965. Zbl0136.30002
  7. [7] Tits ( J.) – Classification of algebraic semisimple groups, Proc. AMS Symp. Pure Math. Vol. IX, 1966, pp.33–62. Zbl0238.20052MR224710
  8. [8] Tits ( J.) – Reductive groups over local fields, Proc. AMS Symp. Pure Math. Vol. XXXIII, 1979, Part 1, pp.29–69. Zbl0415.20035MR546588

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