Induced representations of reductive -adic groups. I
I. N. Bernstein; A. V. Zelevinsky
Annales scientifiques de l'École Normale Supérieure (1977)
- Volume: 10, Issue: 4, page 441-472
- ISSN: 0012-9593
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topBernstein, I. N., and Zelevinsky, A. V.. "Induced representations of reductive ${\mathfrak {p}}$-adic groups. I." Annales scientifiques de l'École Normale Supérieure 10.4 (1977): 441-472. <http://eudml.org/doc/82002>.
@article{Bernstein1977,
author = {Bernstein, I. N., Zelevinsky, A. V.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {reductive p-adic groups; connected algebraic group; irreducible representation; Levi component; Kirillov model; Lie group},
language = {eng},
number = {4},
pages = {441-472},
publisher = {Elsevier},
title = {Induced representations of reductive $\{\mathfrak \{p\}\}$-adic groups. I},
url = {http://eudml.org/doc/82002},
volume = {10},
year = {1977},
}
TY - JOUR
AU - Bernstein, I. N.
AU - Zelevinsky, A. V.
TI - Induced representations of reductive ${\mathfrak {p}}$-adic groups. I
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 4
SP - 441
EP - 472
LA - eng
KW - reductive p-adic groups; connected algebraic group; irreducible representation; Levi component; Kirillov model; Lie group
UR - http://eudml.org/doc/82002
ER -
References
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- [10] H. JACQUET, Sur les représentations des groupes réductifs p-adiques (C. R. Acad. Sc. Paris, t. 280, No. 19, série A, 1975, pp. 1271-1272. Zbl0309.22012MR51 #5856
- [11] HARISH-CHANDRA, Harmonic Analysis on Reductive p-adic Groups (preprint).
- [12] R. HOWE, Some Qualitative Results on the Representation Theory of GLn over a p-adic Field (Inst. for Adv. Study 1972).
- [13] D. M. KAN, Adjoint Functors (Trans. Amer. Math. Soc., Vol. 87, 1958, pp. 294-329). Zbl0090.38906MR24 #A1301
- [14] G. I. OLSHANSKY, Intertwining Operators and Complementary Series in the Class of Representations of the General Group of Matrices over a Locally Compact Division Algebra, induced from Parabolic Subgroups (Mat. Sb., Vol. 93, No. 2, 1974, pp. 218-253). Zbl0298.22016
- [15] T. A. SPRINGER, Cusp Forms for Finite Groups, in Seminar on Algebraic Groups and Related Finite Groups, (Lecture Notes in Math., Vol. 131, Springer-Verlag, 1970). Zbl0263.20024MR41 #8541
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Citations in EuDML Documents
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- L. Clozel, Théorème d’Atiyah-Bott pour les variétés -adiques et caractères des groupes réductifs
- Rebecca A. Herb, Supertempered virtual characters
- Siddhartha Sahi, On Kirillov's conjecture for archimedean fields
- Karem Bettaïeb, Sur les représentations tempérées d’un groupe réductif -adique non connexe: Cas où est commutatif et fini
- Freydoon Shahidi, Local coefficients and normalization of intertwining operators for
- S. J. Patterson, Metaplectic forms and Gauss sums I
- Laurent Clozel, Sur une conjecture de Howe. I
- Paul J.jun. Sally, Marko Tadic, Induced representations and classification for and
- Yuval Z. Flicker, On endo-lifting
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