Sur la cohomologie réelle des groupes de Lie simples réels
Guichardet, A. ; Wigner, D.
Annales scientifiques de l'École Normale Supérieure, Tome 11 (1978), p. 277-292 / Harvested from Numdam
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@article{ASENS_1978_4_11_2_277_0,
     author = {Guichardet, Alain and Wigner, D.},
     title = {Sur la cohomologie r\'eelle des groupes de Lie simples r\'eels},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {11},
     year = {1978},
     pages = {277-292},
     doi = {10.24033/asens.1347},
     mrnumber = {80g:22023a},
     zbl = {0398.22015},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/ASENS_1978_4_11_2_277_0}
}

Guichardet, A.; Wigner, D. Sur la cohomologie réelle des groupes de Lie simples réels. Annales scientifiques de l'École Normale Supérieure, Tome 11 (1978) pp. 277-292. doi : 10.24033/asens.1347. http://gdmltest.u-ga.fr/item/ASENS_1978_4_11_2_277_0/

[1] D. Wigner, Algebraic Cohomology of Topological Groups (Trans. Amer. Math. Soc., t. 178, 1973, p. 83-93). | MR 49 #2898 | Zbl 0264.22001

[2] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press. | Zbl 0111.18101

[3] W. T. Van Est, Group Cohomology and Lie Algebra Cohomology in Lie Groups, I, II (Nederl. Akad. Wetensch. Proc. Series A 56 = Indag. Math., t. 15, 1953, p. 484-504). | MR 15,505b | Zbl 0051.26001

[4] G. P. Hochschild and G. D. Mostow, Cohomology of Lie Groups (Illinois J. Math., t. 6, 1962, p. 367-401). | MR 26 #5092 | Zbl 0111.03302

[5] T. Asai, The Reciprocity of Dedekind Sums and the Factor Set for the Universal Covering Group of SL (2, R) (Nagoya Math. J., t. 37, 1970, p. 67-80). | MR 41 #5299 | Zbl 0192.39601

[6] J. L. Dupont, Curvature and Characteristic Classes [Lecture Notes in Math., (t. 640, 1978)]. | MR 58 #18477 | Zbl 0373.57009

[7] J. L. Koszul, Homologie et cohomologie des algèbres de Lie (Bull. Soc. Math. France, t. 78, 1950, p. 65-127). | Numdam | MR 12,120g | Zbl 0039.02901

[8] R. A. Rankin, Modular Forms and Functions, Cambridge Univ. Press, 1977. | MR 58 #16518 | Zbl 0376.10020

[9] A. Borel and F. Hirzebruch, Characteristic Classes and Homogeneous Spaces, I (Amer. J. Math., t. 80, 1958, p. 458-538). | MR 21 #1586 | Zbl 0097.36401

[10] I. Satake, Livre en préparation sur les espaces symétriques.

[11] W. T. Van Est, On Algebraic Cohomology Concepts in Lie Group, I, II (Nederl. Akad. Wetensch. Proc. Series A 58, 1955, p. 225-233 et 286-294). | MR 17,61b | Zbl 0067.26202

[12] W. T. Van Est, A Generalization of the Cartan-Leray Spectral Sequence, I, II (Ibid., 61, 1958, p. 399-406 et 407-413). | MR 21 #2236 | Zbl 0084.39202

[13] C. C. Moore, Group Extensions and Cohomology for Locally Compact Groups, III, IV (Trans. Amer. Math. Soc., t. 221, 1976, p. 1-33 et 35-58). | MR 54 #2867 | Zbl 0366.22005

[14] H. Shulman and P. Tischler, Leaf Invariants for Foliations and the Van Est Isomorphism (J. Diff. Geom., t. 11, 1976, p. 535-546). | MR 56 #9549 | Zbl 0361.57022

[15] J.-L. Dupont, Simplicial de Rham Cohomology and Characteristic Classes of Flat Bundles (Topology, t. 15, 1976, p. 233-245). | MR 54 #1243 | Zbl 0331.55012