On the Iwahori-Matsumoto involution and applications

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1. [Art1] J. ARTHUR, Unipotent automorphic representations : conjectures, Astérisque, Vol. 171-172, 1989, pp. 13-71. Zbl0728.22014MR91f:22030
2. [Art2] J. ARTHUR, Intertwining operators and residues 1. weighted characters, J. Func. Anal., Vol. 84, pp. 19-84. Zbl0679.22011MR90j:22018
3. [Art3] J. ARTHUR, On elliptic tempered characters (preprint). 
4. [B-Z] I. BERNSTEIN and A. ZELEVINSKY, Induced representations of reductive p-adic groups I, Ann. Sci. École Norm. Sup., Vol. 10, 1977, pp. 441-472. Zbl0412.22015MR58 #28310
5. [Bor] A. BOREL, Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math, Vol. 35, 1976, pp. 233-259. Zbl0334.22012MR56 #3196
6. [Cas1] W. CASSELMAN, Introduction to the theory of admissible representation of p-adic reductive groups (preprint). 
7. [Cas2] W. CASSELMAN, The Steinberg character as a true character, Proceedings of Symposia in Pure Mathematics, Vol. 26, 1973, pp. 413-417. Zbl0289.22017MR49 #3039
8. [Cas3] W. CASSELMAN, The unramified principal series of p-adic groups I, Comp. Math., Vol. 40, 1980, pp. 387-406. Zbl0472.22004MR83a:22018
9. [Gol] D. GOLDBERG, Reducibility of induced representations for Sp(2n) and SO(n) (preprint). 
10. [I-M] N. IWAHORI and H. MATSUMOTO, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ. Math. IHES, Vol. 25, 1965, pp. 5-48. Zbl0228.20015MR32 #2486
11. [Keys] D. KEYS, L-indistinguishibility and R-groups for quasi-split groups : Unitary groups of even dimension, Ann. Sci. École Norm. Sup., Vol. 20, 1987, pp. 31-64. Zbl0634.22014
12. [Lus] G. LUSZTIG, Representations of affine Hecke algebras, Astérisque, Vol. 171-172, 1989, pp. 73-84. Zbl0699.22027MR90k:22028
13. [M-W] C. MOEGLIN and J.-L. WALDSPURGER, Sur l'involution de Zelevinski, J. reine angew. Math., Vol. 372, 1986, pp. 136-177. Zbl0594.22008MR88c:22019
14. [Re1] M. REEDER, On certain Iwahori invariants in the unramified principal series, Pac. J. Math., Vol. 153, 1992, pp. 313-342. Zbl0804.22010MR93b:22033
15. [Re2] M. REEDER, Nonstandard intertwining operators and the structure of unramified principal series representations (preprint). 
16. [Rod] F. RODIER, Sur les représentations non ramifiées des groupes réductifs p-adiques ; l'exemple de GSp(4), Bull. Soc. Math. France, Vol. 116, 1988, pp. 15-42. Zbl0662.22011MR89i:22033
17. [Sha] F. SHAHIDI, A proof of Langlands' conjecture on Plancherel measures ; complementary series for p-adic groups, Ann. of Math., Vol. 132, 1990, pp. 273-330. Zbl0780.22005MR91m:11095

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