Induced representations and classification for and
Paul J.jun. Sally; Marko Tadic
Mémoires de la Société Mathématique de France (1993)
- Volume: 52, page 75-133
- ISSN: 0249-633X
Access Full Article
topHow to cite
topSally, Paul J.jun., and Tadic, Marko. "Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$." Mémoires de la Société Mathématique de France 52 (1993): 75-133. <http://eudml.org/doc/94904>.
@article{Sally1993,
author = {Sally, Paul J.jun., Tadic, Marko},
journal = {Mémoires de la Société Mathématique de France},
keywords = {-adic field; reducibility; parabolic subgroups; cuspidal representations; irreducible unitary representations},
language = {eng},
pages = {75-133},
publisher = {Société mathématique de France},
title = {Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$},
url = {http://eudml.org/doc/94904},
volume = {52},
year = {1993},
}
TY - JOUR
AU - Sally, Paul J.jun.
AU - Tadic, Marko
TI - Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
JO - Mémoires de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 52
SP - 75
EP - 133
LA - eng
KW - -adic field; reducibility; parabolic subgroups; cuspidal representations; irreducible unitary representations
UR - http://eudml.org/doc/94904
ER -
References
top- [BZ] Bernstein, J. and ZELEVINSKY, A.V., Induced representations of reductive p-adic groups I, Ann. Sci. École Norm Sup. 10 (1977), 441-472. Zbl0412.22015MR58 #28310
- [BWh] Borel, A. and Wallach, N., Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton University Press, Princeton, (1980). Zbl0443.22010MR83c:22018
- [C] Casselman, W., Introduction to the theory of admissible representations of p-adic reductive groups, preprint.
- [GeKn] Gelbart, S.S. and Knapp, A. W., L-indistinguishability and R groups for the special linear group, Advan. in Math., 43 (1982), 101-121. Zbl0493.22005MR83j:22009
- [Gu] Gustafson, R., The degenerate principal series for Sp(2n), Mem. of the Amer. Math. Society, 248 (1981), 1-81. Zbl0482.22013MR83e:22021
- [HMr] Howe, R. and Moore, C.C., Asymptotic properties of unitary representations, J. Functional Analysis, 32, No. 1 (1979), 72-96. Zbl0404.22015MR80g:22017
- [J] Jantzen, C., Degenerate principal series for symplectic groups, to appear in Mem. of the Amer. Math. Society. Zbl0814.22004
- [Ke] Keys, D., On the decomposition of reducible principal series representations of p-adic Chevalley groups, Pacific J. Math, 101 (1982), 351-388. Zbl0438.22010MR84d:22032
- [Mi] Milici, D., On C*-algebras with bounded trace, Glasnik Mat., 8(28) (1973), 7-21. Zbl0265.46072MR48 #2781
- [Mo] Moy, A., Representations of GSp(4) over a p-adic field : parts 1 and 2, Compositio Math., 66 (1988), 237-328. Zbl0662.22012MR90d:22022
- [R1] Rodier, F., Décomposition de la série principale des groupes réductifs p-adiques, Non-Commutative Harmonic Analysis, Lecture Notes in Math. 880, Springer-Verlag, Berlin (1981). Zbl0465.22009MR83i:22029
- [R2] Rodier, F.Sur les représentations non ramifiées des groupes réductifs p-adiques ; l'example de GSp(4), Bull. Soc. Math. France, 116 (1988), 15-42. Zbl0662.22011MR89i:22033
- [S1] Shahidi, F., A proof of Langlands conjecture on Plancherel measures ; complementary series for p-adic groups, Ann. of Math., 132 (1990), 273-330. Zbl0780.22005MR91m:11095
- [S2] Shahidi, F., Langlands' conjecture on Plancherel measures of p-adic groups, preprint.
- [S3] Shahidi, F., L-functions and representation theory of p-adic, preprint.
- [S4] Shahidi, F., Letter.
- [T1] Tadić, M., Classification of unitary representations in irreducible representations of general linear group (non-archimedean case), Ann. Sci. École Norm. Sup, 19 (1986), 335-382. Zbl0614.22005MR88b:22021
- [T2] Tadić, M.Induced representations of GL(n, A) for p-adic division algebras A, J. reine angew. Math., 405 (1990), 48-77. Zbl0684.22008MR91i:22025
- [T3] Tadić, M., Notes on representations of non-archimedean SL(n), Pacific J. Math. (to appear).
- [T4] Tadić, M., Representations of p-adic symplectic groups, preprint.
- [T5] Tadić, M., On Jaquet modules of induced representations of p-adic symplectic groups, preprint.
- [T6] Tadić, M., A structure arising from induction and restriction of representations of classical p-adic groups, preprint.
- [T7] Tadić, M., Representations of classical p-adic groups, preprint.
- [Wd] Waldspurger, J.-L., Un exercice sur GSp(4, F) et les représentations de Weil, Bull. Soc. Math. France, 115 (1987), 35-69. Zbl0635.22016MR89a:22033
- [Z1] Zelevinsky, A.V., Induced representations of reductive p-adic groups II, On irreducible representations of GL(n), Ann. Sci École Norm Sup., 13 (1980), 165-210. Zbl0441.22014MR83g:22012
- [Z2] Zelevinsky, A.V., Representations of Finite Classical Groups, A Hopf Algebra Approach, Lecture Notes in Math 869, Springer-Verlag, Berlin, (1981). Zbl0465.20009MR83k:20017
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.