Formes harmoniques et cohomologie relative des algèbres de Lie

Annie Hersant

Bulletin de la Société Mathématique de France (1985)

  • Volume: 113, page 359-377
  • ISSN: 0037-9484

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Hersant, Annie. "Formes harmoniques et cohomologie relative des algèbres de Lie." Bulletin de la Société Mathématique de France 113 (1985): 359-377. <http://eudml.org/doc/87492>.

@article{Hersant1985,
author = {Hersant, Annie},
journal = {Bulletin de la Société Mathématique de France},
keywords = {relative cohomology; harmonic forms; unimodular Lie group; complex Lie algebra; Poincaré duality},
language = {fre},
pages = {359-377},
publisher = {Société mathématique de France},
title = {Formes harmoniques et cohomologie relative des algèbres de Lie},
url = {http://eudml.org/doc/87492},
volume = {113},
year = {1985},
}

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
PB - Société mathématique de France
VL - 113
SP - 359
EP - 377
LA - fre
KW - relative cohomology; harmonic forms; unimodular Lie group; complex Lie algebra; Poincaré duality
UR - http://eudml.org/doc/87492
ER -

References

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  1. [1] BOREL (A.) and WALLACH (N.). — Continuous cohomology, discrete subgroups and representations of reductive groups, Study n° 94, Princeton, 1980. Zbl0443.22010MR83c:22018
  2. [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. Zbl0515.58031MR84f:58108
  3. [3] DIXMIER (J.). — Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. Zbl0152.32902MR30 #1404
  4. [4] DUFLO (M.). — Construction de représentations unitaires d'un groupe de Lie, dans Harmonic Analysis and Group Representations, Liguoni, Napoli, 1982. MR87b:22028
  5. [5] GOODMAN (R.). — One parameter-groups generated by operators in an enveloping algebra, J. Funct. Anal., vol. 6, 1970, p. 218-236. Zbl0203.44202MR42 #3229
  6. [6] HELGASON (S.). — Differential geometry and symmetric spaces, Academic Press, New York, 1962. Zbl0111.18101MR26 #2986
  7. [7] HERSANT (A.). — Formes harmoniques et cohomologie relative des algèbres de Lie, J. Reine Angew. Math., vol. 344, 1983, p. 71-86. Zbl0512.58006MR86a:22030
  8. [8] KOORNWINDER (T. H.). — Invariant differential operators on non-reductive homogeneous spaces, Preprint, Mathematisch Centrum, Amsterdam, 1981. Zbl0454.22006MR82g:43011
  9. [9] KOSZUL (J. L.). — Homologie et cohomologie des algèbres de Lie, Bull. SMF, vol. 78, 1950, p. 65-127. Zbl0039.02901MR12,120g
  10. [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. Zbl0439.22012MR81h:22008
  11. [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. Zbl0237.22013MR46 #9239
  12. [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. Zbl0446.22010MR81k:22012
  13. [13] ROSENBERG (J.) and VERGNE (M.). — Harmonically induced representations of solvable Lie groups, Preprint I.H.E.S., 1984. 
  14. [14] SCHMID (W.). — On a conjecture of Langlands, Ann. of Math., vol. 93, 1971, p. 1-42. Zbl0291.43013MR44 #4149

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