@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 = {http://archive.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 - http://archive.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 http://archive.numdam.org/item/AST_1989__171-172__13_0/ %G en %F AST_1989__171-172__13_0
Arthur, James. Unipotent automorphic representations : conjectures, in Orbites unipotentes et représentations - II. Groupes $p$-adiques et réels, Astérisque, no. 171-172 (1989), pp. 13-71. http://archive.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 -functions, in Automorphic Forms, Representations and -functions, Proc. Sympos. Pure Math. 33, Part II, A.M.S., Providence, 1979, pp. 27-62. | MR | Zbl
,9. -cohomology of locally symmetric manifolds of finite volume, Duke Math. J. 50 (1983), 625-647. | DOI | MR | Zbl
and ,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 -function for characters of real representations, Invent. Math. 20 (1973), 125-138. | DOI | EuDML | MR | Zbl
and ,13. Discrete series for semisimple Lie groups II, Acta. Math. 116 (1966), 1-111. | DOI | Zbl
,14. Harmonic analysis on -adic groups, in Harmonic Analysis on Homogeneous Spaces, Proc. Sympos. Pure Math. 26, A.M.S. Providence, 1973, pp. 167-192. | DOI | MR | Zbl
,15. A counterexample to the "generalized Ramanujan conjecture" for (quasi-)split groups, in Automorphic Forms, Representations and -functions, Proc. Sympos. Pure Math. 33, Part I, A.M.S., Providence, 1979, pp. 315-322. | DOI | MR | Zbl
and ,16. On the residual spectrum of , in Lie Group Representations II, Lecture Notes in Math., vol. 1041, Springer-Verlag, 1983, pp. 1-49. | MR | Zbl
,17. -indistinguishability and -groups for quasi-split groups: unitary groups in even dimension, Ann. Scient. Ec. Norm. Sup., 4e serie, t. 31 (1987), 31-64. | DOI | EuDML | Numdam | MR | Zbl
,18. Artin -functions and normalization of intertwining operators, to appear in Ann. Scient. Ec. Norm. Sup. | EuDML | Numdam | MR | Zbl
and ,19. Normalizing factors, tempered representations, and -groups, in Autormorphic Forms, Representations and L-functions, Proc. Sympos. Pure Math. 33, Part I, A.M.S., Providence, 1979, pp. 93-106. | DOI | MR | Zbl
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. -indistinguishability for , Canad. J. Math. 31 (1979), 726-785. | DOI | MR | Zbl
and ,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 -function, Rice University Studies 56 (1970), 23-28. | Zbl
,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 -functions, Proc. Sympos. Pure Math. 33, Part II, A.M.S., Providence, 1979, pp. 205-246. | DOI | MR | Zbl
,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 , Compositio Math. 48 (1983), 271-295. | EuDML | Numdam | MR | Zbl
,36. Some results on L-indistinguishability for , Canad. J. Math. 35 (1983), 1075-1109. | DOI | MR | Zbl
,37. Local coefficients as Artin factors for real groups, Duke Math. J. 52 (1985), 973-1007. | DOI | MR | Zbl
,38. Notes on -indistinguishability (based on a lecture by R.P. Langlands), in Automorphic Forms, Representations and -functions, Proc. Sympos. Pure Math. 33, Part II, A.M.S., Providence, 1979, pp. 193-204. | DOI | MR | Zbl
,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 -groups, Canad. J. Math., 33 (1981), 513-558. | DOI | MR | Zbl
,41. -indistinguishability for real groups, Math. Ann. 259 (1982), 385-430. | DOI | EuDML | MR | Zbl
,42. Unitary representations of and the cohomology of congruence subgroups, in Non-commutative Harmonic Analysis and Lie Groups, Lecture Notes in Math., vol. 880, Springer-Verlag, 1981, pp. 483-505. | DOI | MR | Zbl
,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 -functions, Proc. Sympos. Pure Math. 33, Part II, A.M.S., Providence, 1979, pp. 3-26. | DOI | MR | Zbl
,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 over an archimedean field, Invent. Math. 83 (1986), 449-505. | DOI | EuDML | MR | Zbl
,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
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