×

zbMATH — the first resource for mathematics

Induced representations of reductive \(p\)-adic groups. I. (English) Zbl 0412.22015

MSC:
22E50 Representations of Lie and linear algebraic groups over local fields
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML
References:
[1] I. N. BERNSTEIN and A. V. ZELEVINSKY , Representations of the group GL (n, F), where F is a local Non-Archimedean Field, (Uspekhi Mat. Nauk., Vol. 31, No. 3, 1976 , pp. 5-70). Zbl 0348.43007 · Zbl 0348.43007
[2] I. N. BERNSTEIN and A. V. ZELEVINSKY , Induced Representations of the Group GL (n) over a p-adic Field (Funkt. Anal. i Priložen., Vol. 10, No. 3, 1976 , pp. 74-75). MR 54 #12989
[3] A. BOREL , Linear Algebraic Groups , Benjamin, New York-Amsterdam, 1969 . MR 40 #4273 | Zbl 0186.33201 · Zbl 0186.33201
[4] A. BOREL et J. TITS , Groupes réductifs (Publ. Math. I.H.E.S., No. 27, 1965 ). Numdam | MR 34 #7527 | Zbl 0145.17402 · Zbl 0145.17402
[5] N. BOURBAKI , Groupes et algèbres de Lie , Chap. 4, 5 et 6, Hermann Paris, 1968 . Zbl 0186.33001 · Zbl 0186.33001
[6] W. CASSELMAN , Steinberg Character as a True Character (Proc. Sympos. Pure Math., Vol. 26, 1972 , pp. 413-418). MR 49 #3039 | Zbl 0289.22017 · Zbl 0289.22017
[7] G. VAN DIJK , Some Recent Results of Harish-Chandra for p-adic groups [Colloque sur les fonctions sphériques, Nancy, 5-9 janvier 1971 (preprint)]. MR 55 #12879 | Zbl 0352.22016 · Zbl 0352.22016
[8] I. M. GELFAND and D. A. KAJDAN , On Representations of the Group GL (n, K), where K is a local Field (Funkt. Anal. i Priložen., Vol. 6, No. 4, 1972 , pp. 73-74).
[9] I. M. GELFAND and D. A. KAJDAN , Representations of GL (n, K) , in “Lie Groups and their Representations 2, Akadèmiai Kiado, Budapest, 1974 .
[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. MR 51 #5856 | Zbl 0309.22012 · Zbl 0309.22012
[11] HARISH-CHANDRA , Harmonic Analysis on Reductive p-adic Groups (preprint). · Zbl 0289.22018
[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). MR 24 #A1301 | Zbl 0090.38906 · Zbl 0090.38906
[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). Zbl 0298.22016 · Zbl 0298.22016
[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 ). MR 41 #8541 | Zbl 0263.20024 · Zbl 0263.20024
[16] R. STEINBERG , Lectures on Chevalley Groups , Yale University, 1967 . · Zbl 0164.34302
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.