@article{ASENS_1989_4_22_3_473_0,
author = {Rohlfs, J\"urgen and Speh, Birgit},
title = {Automorphic representations and {Lefschetz} numbers},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {473--499},
year = {1989},
publisher = {Elsevier},
volume = {Ser. 4, 22},
number = {3},
doi = {10.24033/asens.1589},
mrnumber = {91d:11057},
zbl = {0689.22005},
language = {en},
url = {https://www.numdam.org/articles/10.24033/asens.1589/}
}
TY - JOUR AU - Rohlfs, Jürgen AU - Speh, Birgit TI - Automorphic representations and Lefschetz numbers JO - Annales scientifiques de l'École Normale Supérieure PY - 1989 SP - 473 EP - 499 VL - 22 IS - 3 PB - Elsevier UR - https://www.numdam.org/articles/10.24033/asens.1589/ DO - 10.24033/asens.1589 LA - en ID - ASENS_1989_4_22_3_473_0 ER -
%0 Journal Article %A Rohlfs, Jürgen %A Speh, Birgit %T Automorphic representations and Lefschetz numbers %J Annales scientifiques de l'École Normale Supérieure %D 1989 %P 473-499 %V 22 %N 3 %I Elsevier %U https://www.numdam.org/articles/10.24033/asens.1589/ %R 10.24033/asens.1589 %G en %F ASENS_1989_4_22_3_473_0
Rohlfs, Jürgen; Speh, Birgit. Automorphic representations and Lefschetz numbers. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 3, pp. 473-499. doi: 10.24033/asens.1589
[B 1] , Introduction aux groupes arithmétiques, Paris, Hermann, 1969. | Zbl | MR
[B 2] , Stable Real Cohomology of Arithmetic Groups II, In : J. HANO et al. Eds. Manifolds and Lie groups (Progress in Math. Vol. 14, Boston, Basel, Stuttgart : Birkhöuser, 1981, pp. 21-25). | Zbl | MR
[B 3] , Compact Clifford-Klein Forms of Symmetric Spaces (Topology, Vol. 2, 1963, pp. 111-122). | Zbl | MR
[B-M] and , L2-Index and the Selberg Trace Formula (J. Funct. Anal., Vol. 53, N° 2, 1983, pp. 151-201). | Zbl | MR
[B-S] and , Théorèmes de finitude en cohomologie galoisienne (Comment. Math. Helv., Vol. 39, 1964, pp. 111-196). | Zbl | MR
[B-W] and , Continuous Cohomology, Discrete Subgroups and Representations of Reductive Groups (Annals of Math. Studies, Princeton, University Press, 1960). | Zbl
[Bou] , Groupes et algèbres de Lie, Paris, Hermann, 1968.
[C] , Simple Groups of Lie Type, London, New York, Sydney, Toronto, J. Wiley & Sons 1972. | Zbl | MR
[Cl 1] , On Limit Multiplicities of Discrete Series Representations in the Space of Automorphic Forms (Invent. math., Vol. 83, 1986, pp. 265-284. | Zbl | MR
[Cl 2] , On the Cuspidal Cohomology of Arithmetic Subgroups of SL (2n) and the First Betti Number of Arithmetic 3-Manifolds (Duke. Math. J., Vol. 55, 1987, pp. 475-486). | Zbl | MR
[DG-W] and , Limit Formulas for Multiplicities in L2 (Γ\G) (Ann. of Math., Vol. 107, 1978, pp. 133-150). | Zbl | MR
[E] , Relative Lie Algebra Cohomology and Unitary Representations of Complex Lie Groups (Duke. Math. J., Vol. 46, 1979, pp. 513-525). | Zbl | MR
[H 1] , On the Cohomology of SL2 (D), In : Lie Groups and their Representations (Proc. of the Summer School on Group Repres., London, Hilger, 1975, pp. 139-150). | Zbl | MR
[H 2] , A Gauss-Bonnet Theorem for Discrete Arithmetically Defined Groups (Ann. Scient. Ec. Norm. Sup., (4), 1971, pp. 409-455). | Zbl | MR | Numdam
[H-Ch] , Automorphic Forms on Semisimple Lie Groups (Lecture Notes in Math., Vol. 62, Berlin, Heidelberg, New York, Springer Verlag, 1968). | Zbl | MR
[He] , Differential Geometry, Lie Groups, and Symmetric Spaces New York, San Francisco, London, Academic Press, 1978. | Zbl | MR
[J-L] and , Automorphic Forms on Gl (2) (Lecture Notes in Math., Vol. 114, Berlin, Heidelberg, New York, Springer Verlag, 1970). | Zbl | MR
[K-Z] and , Classification of Irreducible Tempered Representations of Semisimple Groups (Ann. of Math., Vol. 116, 1982, pp. 389-501). | Zbl | MR
[K] , Lie Algebra Cohomology and the Generalized Borel-Bott Theorem (Ann. of Math., Vol. 74, 1961, pp. 329-387). | Zbl | MR
[L 1] , Dimensions of Spaces of Automorphic Forms (Proc. Symp. Pure Math. IX, A.M.S., 1966, pp. 253-257). | Zbl | MR
[L 2] , Basse Change for Gl (2), Annals of math. studies, Princeton, University Press, 1980. | Zbl
[La] , Cusp Cohomology for Arithmetic Groups, Lecture at the Conference Darstellungstheorie reduktiver Lie-Gruppen und automorphe Darstellungen, Mathematisches Forschungsinstitut Oberwolfach, 1987.
[La-S] and , On Liftings and Cusp Cohomology of Arithmetic Groups (Invent. math., Vol. 83, 1986, pp. 383-401). | Zbl | MR
[Le-S] and , The Lefschetz Number of an Involution on the Space of Harmonic Cusp Forms of Sl3 (Invent. math., Vol. 73, 1983, pp. 189-239). | Zbl | MR
[M] , Gesammelte Abhandlungen I, Leipzig, Berlin, Teubner.
[R 1] , 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
[R 2] , On the Cohomology of the Bianchi Modular Groups (Math. Z., Vol. 188, 1985, pp. 253-269). | Zbl | MR
[R 3] , Lefschetz Numbers for Arithmetic Groups (in preparation).
[R-S 1] and , A Cohomological Method for the Determination of Limit Multiplicities (Lecture Notes in Math., Vol. 1243, 1987, pp. 262-272). | Zbl | MR
[R-S 2] and , On Limit Multiplicities of Representations with Cohomology in the Cuspidal Spectrum (Duke Math. Journ., Vol. 55, 1987, pp. 199-211). | Zbl | MR
[R-S 3] and , Representations with Cohomology in the Discrete Spectrum of Subgroups of SO (n, 1) (ℤ) and Lefschetz Numbers, (Ann. scient. Ec. Norm. Sup., 4e série, T. 20, 1987, pp. 89-136). | Zbl | MR | Numdam
[Sa] , Limit Multiplicities of Cusp Forms (Invent. math., Vol. 95, 1989, pp. 149-159). | Zbl | MR
[Sch] , Quadratic and Hermitian Forms, Berlin, Heidelberg, New York, Tokyo, Springer Verlag, 1985. | Zbl | MR
[Sh] , Sur les intégrales attachées aux formes automorphes (J. Math. Soc. Japan, Vol. 11, No. 4, 1959, pp. 291-311). | Zbl | MR
[Se] , Cohomologie Galoisienne (Lecture notes in Mathematics, No. 5, Berlin, Heidelberg, New York, Springer Verlag). | Zbl
[Sp] , Unitary Representations of Gl (n, ℝ) with Non-Trivial (g, ŧ)-Cohomology (Invent. math., Vol. 71, 1983, pp. 1-38). | Zbl | MR
[V-Z] and , Unitary Representations with Nonzero Cohomology (Compositio. Math., Vol. 53, 1984, pp. 51-90). | Zbl | MR | Numdam
[Z] , The Analysis of Irreducibility in a Class of Elementary Representations of a Complex Semisimple Lie Group (Math. U.S.S.R. Izvestija, 2, 1968, pp. 105-128). | Zbl
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