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Paires duales réductives en caractéristique 2

Laure Blasco

Mémoires de la Société Mathématique de France (1993)

  • Volume: 52, page 1-73
  • ISSN: 0249-633X

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Blasco, Laure. "Paires duales réductives en caractéristique 2." Mémoires de la Société Mathématique de France 52 (1993): 1-73. <http://eudml.org/doc/94903>.

@article{Blasco1993,
author = {Blasco, Laure},
journal = {Mémoires de la Société Mathématique de France},
keywords = {local field of characteristic two; metaplectic groups; Dieudonné’s theory of quadratic forms; reductive pairs; pseudosymplectic group; dual reductive pair},
language = {fre},
pages = {1-73},
publisher = {Société mathématique de France},
title = {Paires duales réductives en caractéristique 2},
url = {http://eudml.org/doc/94903},
volume = {52},
year = {1993},
}

TY - JOUR
AU - Blasco, Laure
TI - Paires duales réductives en caractéristique 2
JO - Mémoires de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 52
SP - 1
EP - 73
LA - fre
KW - local field of characteristic two; metaplectic groups; Dieudonné’s theory of quadratic forms; reductive pairs; pseudosymplectic group; dual reductive pair
UR - http://eudml.org/doc/94903
ER -

References

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  2. [2] E. DICKSON. — The abstract form of the special linear homogeneous group in an arbitrary field, in The collected mathematical papers, Vol. 6, 127-131, Chelsea Publishing Company, New York, (1983). 
  3. [3] J. DIEUDONNÉ. — La géométrie des groupes classiques, Springer Ergebnisse 5, (1971). Zbl0221.20056MR46 #9186
  4. [4] J. DIEUDONNÉ. — On the structure of unitary groups II, Amer. J. of Math. 75, (1973), 665-678. Zbl0051.01803MR15,287f
  5. [5] P. GÉRARDIN. — Weil representations associated to finite fields, J. of Algebra 46, (1977), 54-101. Zbl0359.20008MR57 #470
  6. [6] R. HOWE. — θ-series and invariant theory, in Automorphic forms, representations and L-functions, Proc. Sym. in Pure Math. XXXIII, AMS 1979, 275-286. Zbl0423.22016MR81f:22034
  7. [7] S. KUDLA. — On the local theta correspondence, Inv. Math. 83, (1986), 229-255. Zbl0583.22010MR87e:22037
  8. [8] C. MOEGLIN, M.-F. VIGNÉRAS et J.-L. WALDSPURGER. — Correspondances de Howe sur un corps p-adique, Springer LN 1291, (1987). Zbl0642.22002MR91f:11040
  9. [9] P. PERRIN. — Représentation de Schrödinger, indice de Maslov et groupe métaplectique in Noncommutative harmonic analysis and Lie groups, Springer LN 880, (1981), 370-407. Zbl0462.22008MR83m:22027
  10. [10] H. POLLATSEK. — First cohomology groups of some linear groups over fields of characteristic two, Illinois J. of Math. 15, (1971), 393-417. Zbl0218.20039MR43 #6316
  11. [11] G. PRASAD et M.S. RAGHUNATHAN. — Topological central extensions of semi-simple groups over local fields, Ann. of Math. 119, (1984), 143-201. Zbl0552.20025MR86e:20051a
  12. [12] W. SCHARLAU. — Quadratic and hermitian forms, Springer Grundlehren 270, (1985). Zbl0584.10010MR86k:11022
  13. [13] J.-P. SERRE. — Cohomologie des extensions de groupes, C.R.A.S. Paris 231, (1950), 643-646. Zbl0038.36501MR12,272f
  14. [14] J.-L. WALDSPURGER. — Notes manuscrites d'un cours à l'Université de Paris VII en 1989. 
  15. [15] A. WEIL. — Sur certains groupes d'opérateurs unitaires, Acta Math. 111, (1964), 143-211. Zbl0203.03305MR29 #2324
  16. [16] A. WEIL. — Basic number theory, Springer Grundlehren 144, (1974). Zbl0326.12001MR55 #302

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