Geodesic
Stable Conjugacy: Definitions and Lemmas
Canadian journal of mathematics, Tome 31 (1979) no. 4, pp. 700-725

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of the present note is to introduce some notions useful for applications of the trace formula to the study of the principle of functoriality, including base change, and to the study of zeta-functions of Shimura varieties. In order to avoid disconcerting technical digressions I shall work with reductive groups over fields of characteristic zero, but the second assumption is only a matter of convenience, for the problems caused by inseparability are not serious.The difficulties with which the trace formula confronts us are manifold. Most of them arise from the non-compactness of the quotient and will not concern us here. Others are primarily arithmetic and occur even when the quotient is compact. To see how they arise, we consider a typical problem. 
Langlands, R. P. Stable Conjugacy: Definitions and Lemmas. Canadian journal of mathematics, Tome 31 (1979) no. 4, pp. 700-725. doi: 10.4153/CJM-1979-069-2
@article{10_4153_CJM_1979_069_2,
     author = {Langlands, R. P.},
     title = {Stable {Conjugacy:} {Definitions} and {Lemmas}},
     journal = {Canadian journal of mathematics},
     pages = {700--725},
     year = {1979},
     volume = {31},
     number = {4},
     doi = {10.4153/CJM-1979-069-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1979-069-2/}
}
TY  - JOUR
AU  - Langlands, R. P.
TI  - Stable Conjugacy: Definitions and Lemmas
JO  - Canadian journal of mathematics
PY  - 1979
SP  - 700
EP  - 725
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1979-069-2/
DO  - 10.4153/CJM-1979-069-2
ID  - 10_4153_CJM_1979_069_2
ER  - 
%0 Journal Article
%A Langlands, R. P.
%T Stable Conjugacy: Definitions and Lemmas
%J Canadian journal of mathematics
%D 1979
%P 700-725
%V 31
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1979-069-2/
%R 10.4153/CJM-1979-069-2
%F 10_4153_CJM_1979_069_2

[1] 1. Borel, A., Formes automorphes et séries de Dirichlet , Sem. Bourbaki (1975). Google Scholar

[2] 2. Bourbaki, N., Groupes et algèbres de Lie , Chap. 4, 5, et 6, Hermann (Paris). Google Scholar

[3] 3. Dynkin, E., Semi-simple subalgebras of semi-simple Lie algebras, A.M.S. Trans. Ser. 2, 6 (1957). Google Scholar

[4] 4. Flath, D., Thesis, Harvard (1977). Google Scholar

[5] 5. Freudenthal, H. and de Vries, H., Linear Lie groups, Academic Press (New York). Google Scholar

[6] 6. Jacquet, H. and Langlands, R. P., Automorphic forms on GL(2), Springer Lecture Notes 114 (1970). Google Scholar

[7] 7. Labesse, J.-P. and Langlands, R. P., L-indistinguishability for SL(2), to appear in Can. J. Math. Google Scholar

[8] 8. Langlands, R. P., Representations of abelian algebraic groups , preprint (1968). Google Scholar

[9] 9. Langlands, R. P., Problems in the theory of automorphic forms , in Springer Lecture Notes 170. Google Scholar

[10] 10. Langlands, R. P., On the classification of irreducible representations of real algebraic groups , preprint (1973). Google Scholar

[11] 11. Steinberg, R., Regular elements of semi-simple algebraic groups, Publ. Math. I.H.E.S. (1965). Google Scholar

[12] 12. Shelstad, D., Characters and inner forms of a quasi-split group over R, to appear in Comp. Math. Google Scholar

[13] 13. Shelstad, D.,Orbital integrals and a family of groups attached to a real reductive group , to appear. Google Scholar

[14] 14. Shelstad, D.,Notes on L-indistinguishability (based on a lecture of R. P. Langlands), to appear in Proc. of A.M.S. Summer Institute (Corvallis). Google Scholar

Cité par Sources :