Endoscopic groups and packets of non-tempered representations

Jeffrey Adams; Joseph F. Johnson

Compositio Mathematica (1987)

  • Volume: 64, Issue: 3, page 271-309
  • ISSN: 0010-437X

How to cite

top

Adams, Jeffrey, and Johnson, Joseph F.. "Endoscopic groups and packets of non-tempered representations." Compositio Mathematica 64.3 (1987): 271-309. <http://eudml.org/doc/89877>.

@article{Adams1987,
author = {Adams, Jeffrey, Johnson, Joseph F.},
journal = {Compositio Mathematica},
keywords = {connected reductive algebraic group; irreducible admissible representations; tempered L-packets; L-functoriality; stable tempered distribution; non-tempered L-packets; irreducible unitary representations; sum of characters; character identity; unitary representations with cohomology},
language = {eng},
number = {3},
pages = {271-309},
publisher = {Martinus Nijhoff Publishers},
title = {Endoscopic groups and packets of non-tempered representations},
url = {http://eudml.org/doc/89877},
volume = {64},
year = {1987},
}

TY - JOUR
AU - Adams, Jeffrey
AU - Johnson, Joseph F.
TI - Endoscopic groups and packets of non-tempered representations
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 64
IS - 3
SP - 271
EP - 309
LA - eng
KW - connected reductive algebraic group; irreducible admissible representations; tempered L-packets; L-functoriality; stable tempered distribution; non-tempered L-packets; irreducible unitary representations; sum of characters; character identity; unitary representations with cohomology
UR - http://eudml.org/doc/89877
ER -

References

top
  1. 1 J. Adams and J.F. Johnson: Endoscopic groups and stable packets of certain derived functor modules. To appear in Proceedings of the Conference on the Selberg Trace Formula, Contemporary Mathematics ed. by D. Hejhal, P. Sarnak and A. Terras, Bowdoin, Maine, July 1984, A.M.S. Zbl0653.22011MR853549
  2. 2 J. Arthur: On some problems suggested by the trace formula. In: Lie Groups Representations II, Proceedings of the Special Year on Harmonic Analysis, Univ. of Maryland, 1982-1983, ed. by R. Herb, R. Lipsman and J. Rosenberg, Lecture Notes in Mathematics, vol. 1041, Springer-Verlag, 1983. Zbl0541.22011MR748504
  3. 3 D. Barbasch and D. Vogan: Unipotent representations of complex semisimple groups, Ann. of Math.121(1) (1985) 41-110. Zbl0582.22007MR782556
  4. 4 A. Borel: Automorphic L-functions. (In Automorphic Forms, Representations, and L-functions, part 2, pp. 27-61. ed. by A. Borel, and W. Casselman. Proceedings of Symposia in Pure Mathematics, vol. 33, A.M.S., Providence1979. Zbl0412.10017MR546608
  5. 5 L. Clozel and P. Delorme, Le Théorème de Paley-Wiener invariant pour les groupes de Lie reductifs (I). Inv. Math.77, (1984) 427-453. Zbl0584.22005MR759263
  6. 6 H. Hecht and W. Schmid: Characters, asymptotics, and n-homology of Harish-Chandra modules. Acta Math.151 (1983) 49-151. Zbl0523.22013MR716371
  7. 7 J.F. Johnson: Lie algebra cohomology and the resolution of certain Harish-Chandra modules. Math. Ann.267 (1984) 377-393. Zbl0524.22016MR738259
  8. 8 J.F. Johnson: Character identities between different real reductive lie groups. To appear in Advances in Math. 
  9. 9 R. Langlands: On the classification of irreducible representations of real algebraic groups. Notes, I.A.S, 1973. Zbl0741.22009
  10. 10 R. Langlands: Les Dêbuts d'une Formule des Traces Stable. Publ. Math. Univ. Paris VII, vol. 13, Paris, 1983. Zbl0532.22017MR697567
  11. 11 D. Shelstad: Characters and inner forms of a quasisplit group over R. Comp. Math.39 (1979) 11-45. Zbl0431.22011MR539000
  12. 12 D. Shelstad: Orbital integrals and a family of groups attached to a real reductive group. Ann. Sci. École Norm. Sup.12 (1979) 1-31. Zbl0433.22006MR532374
  13. 13 D. Shelstad: Embedding of L-groups. Can. J. Math.33 (1981) 613-658. Zbl0457.22006MR627641
  14. 14 D. Shelstad: L-indistinguishability for real groups. Math. Ann.259 (1982) 385-430. Zbl0506.22014MR661206
  15. 15 T. Springer: Reductive groups. In: Automorphic Forms, Representations, and L-functions, part 1, pp. 3-27, ed. by A. Borel and W. Casselman, Proceedings of Symposia in Pure Mathematics, vol. 33, A.M.S., Providence, 1979. Zbl0416.20034MR546587
  16. 16 D. Vogan: Representations of Real Reductive Lie Groups, Birkhauser, Boston, Basel, Stuttgart, 1981. Zbl0469.22012MR632407
  17. 17 D. Vogan: Irreducible characters of semisimple Lie groups, III: Proof of the Kazhdan-Lusztig conjectures in the integral case. Inv. Math.71 (1983) 381-417. Zbl0505.22016MR689650
  18. 18 D. Vogan: Irreducible characters of semisimple Lie groups IV. Character-multiplicity duality. Duke Math. J.49 (1982) 943-1073. Zbl0536.22022MR683010
  19. 19 D. Vogan: Unitarizability of certain series of representations. Ann. of Math.120 (1984) 141-187. Zbl0561.22010MR750719
  20. 20 N. Wallach, On the unitarizability of derived functor modules. Preprint. Zbl0547.22008MR762359
  21. 21 G. Zuckerman: Tensor products of finite and infinite dimensional representations of semisimple Lie groups. Ann. of Math.106 (1977) 295-308. Zbl0384.22004MR457636

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.