# zbMATH — the first resource for mathematics

Induced representations of reductive $$p$$-adic groups. II: On irreducible representations of $$GL(n)$$. (English) Zbl 0441.22014

##### MSC:
 2.2e+51 Representations of Lie and linear algebraic groups over local fields
Zbl 0412.22015
Full Text:
##### References:
 [1] I. N. BERNSTEIN and A. V. ZELEVINSKY , Induced Representations of Reductive p-Adic Groups I (Ann. scient. Éc. Norm. Sup., 4e serie, t. 10, 1977 , pp. 441-472). Numdam | MR 58 #28310 | Zbl 0412.22015 · Zbl 0412.22015 [2] 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). MR 54 #12988 | Zbl 0348.43007 · Zbl 0348.43007 [3] I. N. BERNSTEIN and A. V. ZELEVINSKY , Induced Representations of the Group GL (n) Over a p-Adic Field (Funkc. Anal. i Priložen., Vol. 10, No. 3, 1976 , pp. 74-75). MR 54 #12989 [4] I. N. BERNSTEIN , I. M. GELFAND and S. I. GELFAND , The Structure of Representations Generated by Vectors of Highest Weight (Funkc. Anal. i Prilozen, Vol. 5, No. 1, 1971 , pp. 1-9). MR 45 #298 | Zbl 0246.17008 · Zbl 0246.17008 [5] N. BOURBAKI , Algèbre , Chap. 1 à 3, Hermann, Paris, 1970 . Zbl 0211.02401 · Zbl 0211.02401 [6] W. CASSELMAN , Introduction to the Theory of Admissible Representations of p-Adic Reductive Groups , preprint. [7] P. DELIGNE , Formes modulaires et représentations de GL (2) , in Modular Functions of One Variable II (Lecture Notes in Math., 349, Springer-Verlag, 1973 ). MR 50 #240 | Zbl 0271.10032 · Zbl 0271.10032 [8] I. M. GELFAND and D. A. KAZHDAN , Representations of GL (n, K) , in Lie Groups and Their Representations, Akadèmiai Kiado, Budapest, 1974 . · Zbl 0348.22011 [9] R. GODEMENT and H. JACQUET , Zeta-Functions of Simple Algebras (Lecture Notes in Math., 260, Springer-Verlag, 1972 ). MR 49 #7241 | Zbl 0244.12011 · Zbl 0244.12011 [10] M. HALL , Combinatorial Theory , Blaisdell Publ. Comp., 1967 . MR 37 #80 | Zbl 0196.02401 · Zbl 0196.02401 [11] A. W. KNAPP and G. ZUCKERMAN , Classification of Irreducible Tempered Representations of Semisimple Lie Groups (Proc. Nat. Acad. Sc. U.S.A., Vol. 73, No. 7, 1976 , pp. 2178-2180. MR 57 #538 | Zbl 0329.22013 · Zbl 0329.22013 [12] R. LANGLANDS , On the Classification of Irreducible Representations of Real Algebraic Groups , mimeographed notes, Inst. for Adv. Study, 1973 . · Zbl 0741.22009 [13] 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 [14] A. V. ZELEVINSKY , Classification of Irreducible Non-Cuspidal Representations of the Group GLn Over a p-Adic Field (Funkc. Anal. i Priložen, Vol. 11, No. 1, 1977 , pp. 67-68). Zbl 0363.22012 · Zbl 0363.22012 [15] A. V. ZELEVINSKY , The Representation Ring of Groups GL(n) Over a p-Adic Field (Funkc. Anal. i Priložen, Vol. 11, No. 3, 1977 , pp. 78-79).
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.