Trilinear forms for representations of and local -factors
Compositio Mathematica (1990)
- Volume: 75, Issue: 1, page 1-46
- ISSN: 0010-437X
Access Full Article
topHow to cite
topPrasad, Dipendra. "Trilinear forms for representations of $\mathrm {GL}(2)$ and local $\epsilon $-factors." Compositio Mathematica 75.1 (1990): 1-46. <http://eudml.org/doc/90027>.
@article{Prasad1990,
author = {Prasad, Dipendra},
journal = {Compositio Mathematica},
keywords = {non-archimedean local field; irreducible admissible representations; central characters; Weil-Deligne group; discrete series; G-invariant linear form; supercuspidal},
language = {eng},
number = {1},
pages = {1-46},
publisher = {Kluwer Academic Publishers},
title = {Trilinear forms for representations of $\mathrm \{GL\}(2)$ and local $\epsilon $-factors},
url = {http://eudml.org/doc/90027},
volume = {75},
year = {1990},
}
TY - JOUR
AU - Prasad, Dipendra
TI - Trilinear forms for representations of $\mathrm {GL}(2)$ and local $\epsilon $-factors
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 1
SP - 1
EP - 46
LA - eng
KW - non-archimedean local field; irreducible admissible representations; central characters; Weil-Deligne group; discrete series; G-invariant linear form; supercuspidal
UR - http://eudml.org/doc/90027
ER -
References
top- [A-R1] Asmuth, C. and Repka, J.: Tensor product for SL2(k) I, Complementary Series and the Special Representation. Pacific Journal vol. 97, no. 2 (1981). Zbl0445.22015MR641157
- [A-R2] Asmuth, C. and Repka, J.: Tensor product for SL2(k) II, Supercuspidal Representations. Pacific Journal vol. 97, no. 1 (1981). Zbl0445.22016MR638168
- [Be] Bernstein, J.N.: P-invariant distributions on GL(N) and the classification of unitary representation of GL(N), LNM1041 (1983). Zbl0541.22009
- [B-Z] Bernstein, J.N. and Zelevinsky, A.V.: Representations of the group GL(n, F) where F is a nonarchimedean local field. Usp. Mat. Nauk.31, 5-70(1976). Zbl0342.43017MR425030
- [Ca] Carayol, H.: Representations cuspidales du groupe linearAnn. Sci. Ecole Norm. Sup.17 (1984) 191-225. Zbl0549.22009MR760676
- [Go] Godement: Notes on Jacquet-Langlands theory, IAS, Princeton (1970). Zbl0298.12004
- [G-K] Gelfand, I.M. and Kazhdan, D.A.: Representations of GL(n, K), in Lie Groups and Their Representations, Halsted Press1975.
- [G-Ku] Gerardin, P. and Kutzko, P.: Facteurs locaux pour GL(2). Ann. Sci. Ecole Norm. Sup.13 (1980) 349-412. Zbl0448.22015MR597744
- [H-K] Harris, M. and Kudla, S.: The central critical value of a triple product L-function, to appear. Zbl0731.11031MR1109355
- [Ho] Howe, R.: Kirillov Theory for Compact p-adic Groups. Pacific Journal, vol. 73, no. 2 (1977) 365-381. Zbl0385.22007MR579176
- [J-L] Jacquet, H. and Langlands, R.: Automorphic forms on GL2; LNM114 (1970). Zbl0236.12010
- [Ko] Koch, H.: Zur Arithmetic in Divisions Algebren Uber Lokalen Korpen, Math. Nachr., 100 (1981) 9-19. Zbl0475.12025MR632618
- [Ku 1] Kutzko, P.: On the Supercuspidal representations of GL 2, I, Amer. J. of Math.100 (1978) 43-60. Zbl0417.22012MR507253
- [Ku 2] Kutzko, P.: The local Langlands conjecture for GL 2 of a local field, Ann. of Math.112 (1980) 381-412. Zbl0469.22013MR592296
- [Ku 3] Kutzko, P.: Formulas For Supercuspidal Representations of GLl, l a prime; American Journal of Math., 109 (1987) 201-222. Zbl0618.22006MR882420
- [Ps-R] Piatetski-Shapiro, I. and Rallis, S.: Rankin Triple L-function. Comp. Math.64 (1987) 31-115. Zbl0637.10023MR911357
- [Re] Repka, J.: Tensor product of unitary representations of SL2(R); American Journal of Math., 100 (1978). Zbl0402.22010MR509073
- [S-S] Sally, P.J. and Shalika, J.A.: Characters of discrete series of representations of SL(2) over a local field, Proc. Nat. Acad. Sci. U.S.A.61 (1968), 1231-1237. Zbl0198.18203MR237713
- [Si 1] Silberger, A.: PGL2 over p-adics; LNM166, (1970)
- [Si 2] Silberger, A.: All algebras of spherical functions defined on the two-by-two general linear group with entries in a locally compact p-field are commutative, Proc. Amer. Math. Soc.21 (1969), 437-440. Zbl0174.31205MR237707
- [Ta] Tate, J.: Number Theoretic Background, in: Automorphic Forms, Representations, and L-functions (Corvallis), Proc. Symp. Pure Math.33AMS, (1979). Zbl0422.12007MR546607
- [Tu] Tunnell, J.: Local ε-factors and characters of GL 2; American J. of Math. vol. 105, no. 6, (1983). Zbl0532.12015
- [Wa] Waldspurger, J.-L.: Sur les valeurs de certaines fonctions L automorphes en leur centre de symetrie. Compositio Math.54, 173-242 (1985). Zbl0567.10021MR783511
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.