@article{ASENS_1987_4_20_1_89_0,
author = {Rohlfs, J\"urgen and Speh, Birgit},
title = {Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and {Lefschetz} numbers},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {89--136},
year = {1987},
publisher = {Elsevier},
volume = {Ser. 4, 20},
number = {1},
doi = {10.24033/asens.1525},
mrnumber = {88h:22019},
zbl = {0626.22010},
language = {en},
url = {https://www.numdam.org/articles/10.24033/asens.1525/}
}
TY - JOUR
AU - Rohlfs, Jürgen
AU - Speh, Birgit
TI - Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and Lefschetz numbers
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1987
SP - 89
EP - 136
VL - 20
IS - 1
PB - Elsevier
UR - https://www.numdam.org/articles/10.24033/asens.1525/
DO - 10.24033/asens.1525
LA - en
ID - ASENS_1987_4_20_1_89_0
ER -
%0 Journal Article
%A Rohlfs, Jürgen
%A Speh, Birgit
%T Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and Lefschetz numbers
%J Annales scientifiques de l'École Normale Supérieure
%D 1987
%P 89-136
%V 20
%N 1
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1525/
%R 10.24033/asens.1525
%G en
%F ASENS_1987_4_20_1_89_0
Rohlfs, Jürgen; Speh, Birgit. Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and Lefschetz numbers. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 20 (1987) no. 1, pp. 89-136. doi: 10.24033/asens.1525
[A] , Lecture at The Institute for Advanced Study, April 1984.
[B-B] and , The Unitary Spectrum for Real Rank One Groups (Invent. math., Vol. 72, 1983, pp. 27-55). | Zbl | MR | EuDML
[B] , Stable Real Cohomology of Arithmetic Groups II, In J. HANO et al. Eds. (Manifolds and Lie groups. Progress in Math., Vol. 14, pp. 21-55, Boston Basel Stuttgart : Birkhöuser, 1981). | Zbl | MR
[Br] , p-Adic Groups (Proc. Symp. Pure Math. IX. A.M.S., 1966, pp. 63-70). | Zbl | MR
[Bo] , Groupes et algèbres de Lie, Chap. 4, 5 et 6, Herman, Paris, 1968.
[B-M] and , L2-Index and the Selberg Trace Formula (J. Funct. Anal., Vol. 53, No. 2, 1983, pp. 151-201). | Zbl | MR
[B-S] and , Théorèmes de finitude en cohomologie galoisienne (Comment. Math. Helv., Vol. 39, 1964, pp. 111-149). | Zbl | MR | EuDML
[B-W] and , Continuous Cohomology, Discrete Subgroups and Representations of Reductive Groups (Annals of Math. Studies, 1980, Princeton University Press). | Zbl | MR
[C] , On Limit Multiplicities of Discrete Series Representations in the Space of Automorphic Forms (Invent. math., Vol. 83, 1986, pp. 265-284). | Zbl | MR | EuDML
[D-W] and , Limit Formulas for Multiplicities in L²(Γ\G) (Ann. of Math., Vol. 107, 1978, pp. 133-150). | Zbl | MR
[E] , Quadratische Formen und orthogonale Gruppen (Grundlehren, Band 63, 1974, Springer-Verlag). | Zbl | MR
[H1] , A Gauss-Bonnet Theorem for Discrete Arithmetically Defined Groups (Ann. Scient. Éc. Norm. Sup., (4), 1971, pp. 409-455). | Zbl | MR | Numdam
[H2] , On the Cohomology of Discrete Arithmetically Defined Groups (Proc. Int. Colloq. on Discrete Subgroups and Applications to Moduli, Bombay, 1973, Oxford Univ. Press, 1975, pp. 129-160). | Zbl | MR
[H3] , On the Cohomology of SL2 (O). Lie Groups and their Representations (Proc. of the summer school on group repres., London, Hilger, 1975, pp. 139-150). | Zbl | MR
[H4] , Der Rang-Eins Beitrag zur Eisensteinkohomologie, Bonn, 1985, preprint.
[H-Ch] , Automorphic Forms on Semisimple Lie Groups (Lecture Notes in Math., No. 62, 1968, Springer Verlag). | Zbl | MR
[J] , The Arithmetic Theory of Quadratic Forms, Wiley and Sons, New York, 1950. | Zbl | MR
[K] , Lie Algebra Cohomology and the Generalized Borel-Weil Theorem (Ann. Math., Vol. 74, 1961, pp. 329-387). | Zbl | MR
[L1] , Dimensions of Spaces of Automorphic Forms (Proc. Symp. Pure Math. IX. A.M.S., 1966, pp. 253-257). | Zbl | MR
[L2] , On the Functional Equation Satisfied by Eisenstein Series (Lecture Notes in Math., No. 544, 1976, Springer Verlag). | Zbl | MR
[L] , The Algebraic Theory of Quadratic Forms, Benjamin, Reading, Massachusetts, 1973. | Zbl | MR
[L-S] and , The Lefschetz Number of an Involution on the Space of Cusp Forms of SL3 (Inventiones Math., Vol. 73, 1983, pp. 189-239). | Zbl | MR
[M] , Gesammelte Abhandlungen I, Teubner, Leipzig, Berlin, 1911.
[N] , On Certain Arithmetic and Cohomological Invariants of Semisimple Groups, preprint, 1983, Stony Brook.
[R1] , The Lefschetz Number of an Involution on the Space of Classes of Positive Definite Quadratic Forms (Comment. Math. Helv., Vol. 56, 1981, pp. 272-296). | Zbl | MR
[R2] , On the Cuspidal Cohomology of the Bianchi Modular Groups (Math. Z., Vol. 188, 1985, pp. 253-269). | Zbl | MR
[R3] , Lefschetz Numbers for Arithmetic Groups, in preparation.
[Se1] , Cohomologie Galoisienne (Lecture Notes in Math., No. 5, 1965, Springer Verlag). | Zbl | MR
[Se2] , Le problème des groupes de congruence pour SL2 (Ann. Math., Vol. 92, 1970, pp. 489-527). | Zbl | MR
[Se3] , Cours d'arithmetique, Presses Universitaires de France, Paris, 1970. | Zbl | MR
[S1] , Induced Representations and the Cohomology of Discrete Subgroups (Duke Math. J., Vol. 49, 1982, pp. 1115-1127). | Zbl | MR
[S2] , Automorphic Representations and the Euler-Poincaré Characteristic of Arithmetic Groups, Preprint, 1984.
[T] , Reductive Groups Over Local Fields. In Automorphic Forms, Representations and L-Functions (Proceedings of symp. in pure math., Vol. 33, Part. 1, pp. 29-69, 1979). | Zbl | MR
[V] , Representations of Real Reductive Lie Groups (Progress in Math., Vol. 15, Boston-Basel-Stuttgart : Birkhöuser, 1981). | Zbl | MR
[V-Z] and , Unitary Representations with Nonzero Cohomology (Compositio Math., Vol. 53, 1984, pp. 51-90). | Zbl | MR | Numdam
Cité par Sources :






