@incollection{AST_1989__171-172__13_0, author = {Arthur, James}, title = {Unipotent automorphic representations : conjectures}, booktitle = {Orbites unipotentes et repr\'esentations - II. Groupes $p$-adiques et r\'eels}, series = {Ast\'erisque}, pages = {13--71}, publisher = {Soci\'et\'e math\'ematique de France}, number = {171-172}, year = {1989}, mrnumber = {1021499}, zbl = {0728.22014}, language = {en}, url = {https://numdam.org/item/AST_1989__171-172__13_0/} }
TY - CHAP AU - Arthur, James TI - Unipotent automorphic representations : conjectures BT - Orbites unipotentes et représentations - II. Groupes $p$-adiques et réels AU - Collectif T3 - Astérisque PY - 1989 SP - 13 EP - 71 IS - 171-172 PB - Société mathématique de France UR - https://numdam.org/item/AST_1989__171-172__13_0/ LA - en ID - AST_1989__171-172__13_0 ER -
%0 Book Section %A Arthur, James %T Unipotent automorphic representations : conjectures %B Orbites unipotentes et représentations - II. Groupes $p$-adiques et réels %A Collectif %S Astérisque %D 1989 %P 13-71 %N 171-172 %I Société mathématique de France %U https://numdam.org/item/AST_1989__171-172__13_0/ %G en %F AST_1989__171-172__13_0
Arthur, James. Unipotent automorphic representations : conjectures, dans Orbites unipotentes et représentations - II. Groupes $p$-adiques et réels, Astérisque, no. 171-172 (1989), pp. 13-71. https://numdam.org/item/AST_1989__171-172__13_0/
1. Endoscopic groups and packets of non-tempered representations, Compositio Math. 64 (1987), 271-309. | EuDML | Numdam | MR | Zbl
and ,2. On some problems suggested by the trace formula, in Lie Group Representations II Lecture Notes in Math., vol. 1041, Springer-Verlag, 1983, pp. 1-49. | DOI | MR | Zbl
,3. The local behaviour of weighted orbital integrals, Duke J. Math. 56 (1988), 223-293. | DOI | MR | Zbl
,4. Intertwining operators and residues I. Weighted characters, to appear in J. Funct. Anal. | MR | Zbl
,5. Unipotent automorphic representations. Global motivation, in preparation. | Zbl
,6. Simple Algebras, Base Change and the Advanced Theory of the Trace Formula, to appear in Annals of Math. Studies, Princeton Univ. Press. | MR | Zbl
and ,7. Unipotent representations of complex semisimple Lie groups, Ann. of Math. 121 (1985), 41-110. | DOI | MR | Zbl
and ,
8. Automorphic
9.
10. Continuous Cohomology, Discrete Subgroups and Representations of Reductive Groups, Annals of Math. Studies, 94, Princeton Univ. Press, 1980. | MR | Zbl
and ,11. Decomposition of representations into tensor products, in Automorphic Forms, Representations and L-functions, Proc. Sympos. Pure Math. 33, Part I, A.M.S., Providence, 1979, pp. 179-184. | DOI | MR | Zbl
,
12. On the functional equations of the Artin
13. Discrete series for semisimple Lie groups II, Acta. Math. 116 (1966), 1-111. | DOI | Zbl
,
14. Harmonic analysis on
15. A counterexample to the "generalized Ramanujan conjecture" for (quasi-)split groups, in Automorphic Forms, Representations and
16. On the residual spectrum of
17.
18. Artin
19. Normalizing factors, tempered representations, and
20. Sign changes in harmonic analysis on reductive groups, Trans. Amer. Math. Soc. 278 (1983), 289-297. | DOI | MR | Zbl
,21. Stable trace formula: cuspidal tempered terms, Duke Math. J. 51 (1984), 611-650. | DOI | MR | Zbl
,22. Stable trace formula: elliptic singular terms, Math. Ann. 275 (1986), 365-399. | DOI | EuDML | MR | Zbl
,23. Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two, Invent. Math. 49 (1978), 149-165. | DOI | EuDML | MR | Zbl
,
24.
25. Problems in the theory of automorphic forms, in Lectures in Modern Analysis and Applications, Lecture Notes in Math., vol 170, Springer-Verlag, 1970, pp. 18-86. | MR | Zbl
,
26. On Artin's
27. On the classification of irreducible representations of real reductive groups, to appear in Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Math. Surveys and Monographs, 30, A.M.S., Providence. | MR | Zbl
,28. On the Functional Equations Satisfied by Eisenstein Series, Lecture Notes in Math., vol. 544, Springer-Verlag, 1976. | MR | Zbl
,
29. Automorphic representations, Shimura varieties and motives. Ein Märchen, in Automorphic Forms, Representations and
30. Stable conjugacy: definitions and lemmas, Canad. J. Math. 31 (1979), 700-725. | DOI | MR | Zbl
,31. On the zeta functions of some simple Shimura varieties, Canad. J. Math. 31 (1979), 1121-1216. | DOI | MR | Zbl
,32. Les Débuts d'une Formule des Traces Stable, Publ. Math. Univ. Paris VII, Vol. 13, Paris (1983). | MR | Zbl
,33. On the definition of transfer factors, Math. Ann. 278 (1987), 219-271. | DOI | EuDML | MR | Zbl
and ,34. Automorphic Representations of Unitary Groups in Three Variables, to appear in Annals of Math. Studies, Princeton Univ. Press. | MR | Zbl
,
35. Local coefficients and normalization of intertwining opertors for
36. Some results on L-indistinguishability for
37. Local coefficients as Artin factors for real groups, Duke Math. J. 52 (1985), 973-1007. | DOI | MR | Zbl
,
38. Notes on
39. Orbital integrals and a family of groups attached to a real reductive group, Ann. Scient. Éc. Norm. Sup., 4e serie, t. 12 (1979), 1-31. | DOI | EuDML | Numdam | MR | Zbl
,
40. Embeddings of
41.
42. Unitary representations of
43. Linear Algebraic Groups, Prog. Math. 9, 1981, Birkhäuser. | MR | Zbl
,44. Endomorphisms of Linear Algebraic Groups, Mem. Amer. Math. Soc. 80. 1968. | MR | Zbl
,45. Classification of unitary representations in irreducible representations of general linear group (non-archimedean case), Ann. Scient. Ec. Norm. Sup., 4e serie, t. 19 (1986), 335-382. | DOI | EuDML | Numdam | MR | Zbl
,Classification of unitary representations in irreducible representations of general linear group (non-archimedean case), Ann. Scient. Ec. Norm. Sup., 4e serie, t. 13 (1985), 39-42. | EuDML | Numdam | MR | Zbl
,
46. Number theoretic background, in Automorphic Forms, Representations and
47. Representations of Real Reductive Lie Groups, Prog. Math. 15, 1981, Birkhäuser. | MR | Zbl
,48. Unitarizability of certain series of representations, Ann. of Math. 120 (1984), 141-187. | DOI | MR | Zbl
,
49. The unitary dual of
50. Representations of reductive Lie groups, Proceedings of the International Congress of Mathematicians, Berkeley, 1986, Vol. 1, 245-266. | MR | Zbl
,51. Unitary Representations of Reductive Lie Groups, to appear in Annals of Math. Studies, Princeton Univ. Press. | MR | Zbl
,52. Unitary representations with non-zero cohomology, Compositio Math. 53 (1984), 51-90. | EuDML | Numdam | MR | Zbl
and ,