Formes harmoniques et cohomologie relative des algèbres de Lie
Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 359-377. 
@article{BSMF_1985__113__359_0,
     author = {Hersant, Annie},
     title = {Formes harmoniques et cohomologie relative des alg\`ebres de {Lie}},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {359--377},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {113},
     year = {1985},
     doi = {10.24033/bsmf.2038},
     mrnumber = {88a:17012},
     zbl = {0621.58013},
     language = {fr},
     url = {http://archive.numdam.org/articles/10.24033/bsmf.2038/}
}
TY  - JOUR
AU  - Hersant, Annie
TI  - Formes harmoniques et cohomologie relative des algèbres de Lie
JO  - Bulletin de la Société Mathématique de France
PY  - 1985
SP  - 359
EP  - 377
VL  - 113
PB  - Société mathématique de France
UR  - http://archive.numdam.org/articles/10.24033/bsmf.2038/
DO  - 10.24033/bsmf.2038
LA  - fr
ID  - BSMF_1985__113__359_0
ER  - 
%0 Journal Article
%A Hersant, Annie
%T Formes harmoniques et cohomologie relative des algèbres de Lie
%J Bulletin de la Société Mathématique de France
%D 1985
%P 359-377
%V 113
%I Société mathématique de France
%U http://archive.numdam.org/articles/10.24033/bsmf.2038/
%R 10.24033/bsmf.2038
%G fr
%F BSMF_1985__113__359_0
Hersant, Annie. Formes harmoniques et cohomologie relative des algèbres de Lie. Bulletin de la Société Mathématique de France, Tome 113 (1985), pp. 359-377. doi : 10.24033/bsmf.2038. http://archive.numdam.org/articles/10.24033/bsmf.2038/

[1] Borel (A.) and Wallach (N.). - Continuous cohomology, discrete subgroups and representations of reductive groups, Study n° 94, Princeton, 1980. | MR | Zbl

[2] Connes (A.) and Moscovici (H.). - The L2-index theorem for homogeneous spaces of Lie groups, Ann. of Math., vol. 115, 1982, p. 291-330. | MR | Zbl

[3] Dixmier (J.). - Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. | MR | Zbl

[4] Duflo (M.). - Construction de représentations unitaires d'un groupe de Lie, dans Harmonic Analysis and Group Representations, Liguoni, Napoli, 1982. | MR

[5] Goodman (R.). - One parameter-groups generated by operators in an enveloping algebra, J. Funct. Anal., vol. 6, 1970, p. 218-236. | MR | Zbl

[6] Helgason (S.). - Differential geometry and symmetric spaces, Academic Press, New York, 1962. | MR | Zbl

[7] Hersant (A.). - Formes harmoniques et cohomologie relative des algèbres de Lie, J. Reine Angew. Math., vol. 344, 1983, p. 71-86. | MR | Zbl

[8] Koornwinder (T. H.). - Invariant differential operators on non-reductive homogeneous spaces, Preprint, Mathematisch Centrum, Amsterdam, 1981. | MR | Zbl

[9] Koszul (J. L.). - Homologie et cohomologie des algèbres de Lie, Bull. SMF, vol. 78, 1950, p. 65-127. | Numdam | MR | Zbl

[10] Penney (R.). - Harmonically induced representations on nilpotent Lie groups and automorphic forms on nilmanifolds, Trans. Amer. Math. Soc., vol. 260, 1980, p. 123-145. | MR | Zbl

[11] N. S. Poulsen. - On C;-vectors and intertwining bilinear forms for representations of Lie groups, J. Funct. Anal., vol. 9, 1972, p. 87-120. | MR | Zbl

[12] Rosenberg (J.). - Realization of square-integrable representations of unimodular Lie groups on L2-cohomology spaces, Trans. Amer. Math. Soc., vol. 261, 1980, p. 1-32. | MR | Zbl

[13] Rosenberg (J.) and Vergne (M.). - Harmonically induced representations of solvable Lie groups, Preprint I.H.E.S., 1984.

[14] Schmid (W.). - On a conjecture of Langlands, Ann. of Math., vol. 93, 1971, p. 1-42. | MR | Zbl

Cité par Sources :