Sur la représentation coadjointe d'une algèbre de Lie

J. Dixmier; M. Duflo; M. Vergne

Compositio Mathematica (1974)

  • Volume: 29, Issue: 3, page 309-323
  • ISSN: 0010-437X

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Dixmier, J., Duflo, M., and Vergne, M.. "Sur la représentation coadjointe d'une algèbre de Lie." Compositio Mathematica 29.3 (1974): 309-323. <http://eudml.org/doc/89243>.

@article{Dixmier1974,
author = {Dixmier, J., Duflo, M., Vergne, M.},
journal = {Compositio Mathematica},
language = {fre},
number = {3},
pages = {309-323},
publisher = {Noordhoff International Publishing},
title = {Sur la représentation coadjointe d'une algèbre de Lie},
url = {http://eudml.org/doc/89243},
volume = {29},
year = {1974},
}

TY - JOUR
AU - Dixmier, J.
AU - Duflo, M.
AU - Vergne, M.
TI - Sur la représentation coadjointe d'une algèbre de Lie
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 29
IS - 3
SP - 309
EP - 323
LA - fre
UR - http://eudml.org/doc/89243
ER -

References

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  1. [1 ] W. Borho, P. Gabriel et R. Rentschler: Primideale in Einhüllenden auflösbarer Lie-Algebren. Lecture notes in Math.357, Springer-Verlag, 1973. Zbl0293.17005MR376790
  2. [2] M. Demazure: Sous-groupes algébriques de rang maximum du groupe de Cremona, Ann. Sci. Ec. Norm. Sup.3 (1970) 507-588. Zbl0223.14009MR284446
  3. [3] J. Dixmier: Sur les représentations unitaires des groupes de Lie nilpotents II. Bull. Soc. Math. France, 85 (1957) 325-388. Zbl0085.10303MR95426
  4. [4] J. Dixmier: Sur le centre de l'algèbre enveloppante d'une algèbre de Lie. C.R. Acad. Sci.Paris, 265 (1967) 408-410. Zbl0149.27804MR222125
  5. [5] J. Dixmier: Algèbres enveloppantes. Cahiers Scientifiques, 37, Paris, Gauthier-Villars, 1974. Zbl0308.17007MR498737
  6. [6] M. Duflo et M. Vergne: Une propriété de la représentation coadjointe d'une algèbre de Lie. C.R. Acad. Sci.Paris268 (1969) 583-585. Zbl0192.37402MR245629
  7. [7] E.G. Kochevoï: On the birational representations of the multiplicative and additive groups. Sib. Math. Journ., 8 (1967) 1339-1345. Zbl0244.20038MR218338
  8. [8] M. Nagata: On the 14-th problem of Hilbert, Amer. J. Math., 81 (1959) 766-772. Zbl0192.13801MR105409
  9. [9] V.L. Popov: On the stability of the action of an algebraic group on an algebraic variety. Izv Akad. Nauk. SSSR, 36 (1972) 367-379. Zbl0253.14008MR301028
  10. [10] L. Pukanszky: Unitary representations of solvable Lie groups, Ann. Sci. Ec. Norm. Sup., 4 (1971) 457-608. Zbl0238.22010MR439985
  11. [11] R. Rentschler et M.VERGNE: Sur le semi-centre du corps enveloppant d'une algèbre de Lie. Ann. Sci. Ec. Norm. Sup., 6 (1973) 389-406. Zbl0293.17007MR360730
  12. [12] M. Rosenlicht: A remark on quotient spaces. An. da Acad. Brasiliera de Ciencias, 35 (1963) 487-489. Zbl0123.13804MR171782
  13. [13] M. Rosenlicht: Questions of rationality for solvable algebraic groups over a non perfect field. Annali di Mat., 61 (1963) 97-120. Zbl0126.16901MR158891

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