@incollection{MSMF_1993_2_52__75_0, author = {Sally, Paul J.jun. and Tadic, Marko}, title = {Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$}, booktitle = {Paires duales r\'eductives en caract\'eristiques 2. Induced representations and classifications for $GSp (2,F)$ and $Sp (2,F)$}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {75--133}, publisher = {Soci\'et\'e math\'ematique de France}, number = {52}, year = {1993}, doi = {10.24033/msmf.366}, mrnumber = {94e:22030}, zbl = {0784.22008}, url = {http://archive.numdam.org/articles/10.24033/msmf.366/} }
TY - CHAP AU - Sally, Paul J.jun. AU - Tadic, Marko TI - Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$ BT - Paires duales réductives en caractéristiques 2. Induced representations and classifications for $GSp (2,F)$ and $Sp (2,F)$ AU - Collectif T3 - Mémoires de la Société Mathématique de France PY - 1993 SP - 75 EP - 133 IS - 52 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/msmf.366/ DO - 10.24033/msmf.366 ID - MSMF_1993_2_52__75_0 ER -
%0 Book Section %A Sally, Paul J.jun. %A Tadic, Marko %T Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$ %B Paires duales réductives en caractéristiques 2. Induced representations and classifications for $GSp (2,F)$ and $Sp (2,F)$ %A Collectif %S Mémoires de la Société Mathématique de France %D 1993 %P 75-133 %N 52 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/msmf.366/ %R 10.24033/msmf.366 %F MSMF_1993_2_52__75_0
Sally, Paul J.jun.; Tadic, Marko. Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$, in Paires duales réductives en caractéristiques 2. Induced representations and classifications for $GSp (2,F)$ and $Sp (2,F)$, Mémoires de la Société Mathématique de France, Serie 2, no. 52 (1993), pp. 75-133. doi : 10.24033/msmf.366. http://archive.numdam.org/articles/10.24033/msmf.366/
[BZ] Induced representations of reductive p-adic groups I, Ann. Sci. École Norm Sup. 10 (1977), 441-472. | Numdam | MR | Zbl
and ,[BWh] Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton University Press, Princeton, (1980). | MR | Zbl
and ,[C] Introduction to the theory of admissible representations of p-adic reductive groups, preprint.
,[GeKn] L-indistinguishability and R groups for the special linear group, Advan. in Math., 43 (1982), 101-121. | MR | Zbl
and ,[Gu] The degenerate principal series for Sp(2n), Mem. of the Amer. Math. Society, 248 (1981), 1-81. | MR | Zbl
,[HMr] Asymptotic properties of unitary representations, J. Functional Analysis, 32, No. 1 (1979), 72-96. | MR | Zbl
and ,[J] Degenerate principal series for symplectic groups, to appear in Mem. of the Amer. Math. Society. | Zbl
,[Ke] On the decomposition of reducible principal series representations of p-adic Chevalley groups, Pacific J. Math, 101 (1982), 351-388. | MR | Zbl
,[Mi] On C*-algebras with bounded trace, Glasnik Mat., 8(28) (1973), 7-21. | MR | Zbl
,[Mo] Representations of GSp(4) over a p-adic field : parts 1 and 2, Compositio Math., 66 (1988), 237-328. | Numdam | MR | Zbl
,[R1] Décomposition de la série principale des groupes réductifs p-adiques, Non-Commutative Harmonic Analysis, Lecture Notes in Math. 880, Springer-Verlag, Berlin (1981). | MR | Zbl
,[R2] Sur les représentations non ramifiées des groupes réductifs p-adiques ; l'example de GSp(4), Bull. Soc. Math. France, 116 (1988), 15-42. | Numdam | MR | Zbl
[S1] A proof of Langlands conjecture on Plancherel measures ; complementary series for p-adic groups, Ann. of Math., 132 (1990), 273-330. | MR | Zbl
,[S2] Langlands' conjecture on Plancherel measures of p-adic groups, preprint.
,[S3] L-functions and representation theory of p-adic, preprint.
,[S4] Letter.
,[T1] Classification of unitary representations in irreducible representations of general linear group (non-archimedean case), Ann. Sci. École Norm. Sup, 19 (1986), 335-382. | Numdam | MR | Zbl
,[T2] Induced representations of GL(n, A) for p-adic division algebras A, J. reine angew. Math., 405 (1990), 48-77. | MR | Zbl
[T3] Notes on representations of non-archimedean SL(n), Pacific J. Math. (to appear).
,[T4] Representations of p-adic symplectic groups, preprint.
,[T5] On Jaquet modules of induced representations of p-adic symplectic groups, preprint.
,[T6] A structure arising from induction and restriction of representations of classical p-adic groups, preprint.
,[T7] Representations of classical p-adic groups, preprint.
,[Wd] Un exercice sur GSp(4, F) et les représentations de Weil, Bull. Soc. Math. France, 115 (1987), 35-69. | Numdam | MR | Zbl
,[Z1] Induced representations of reductive p-adic groups II, On irreducible representations of GL(n), Ann. Sci École Norm Sup., 13 (1980), 165-210. | Numdam | MR | Zbl
,[Z2] Representations of Finite Classical Groups, A Hopf Algebra Approach, Lecture Notes in Math 869, Springer-Verlag, Berlin, (1981). | MR | Zbl
,Cited by Sources: