Principal series representations of special unitary groups over local fields
Keys, David
Compositio Mathematica, Tome 53 (1984), p. 115-130 / Harvested from Numdam
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@article{CM_1984__51_1_115_0,
     author = {Keys, David},
     title = {Principal series representations of special unitary groups over local fields},
     journal = {Compositio Mathematica},
     volume = {53},
     year = {1984},
     pages = {115-130},
     mrnumber = {734788},
     zbl = {0547.22009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1984__51_1_115_0}
}

Keys, David. Principal series representations of special unitary groups over local fields. Compositio Mathematica, Tome 53 (1984) pp. 115-130. http://gdmltest.u-ga.fr/item/CM_1984__51_1_115_0/

[1] W. Casselman: Introduction to the Theory of Admissible Representations of p-adic Reductive Groups, to appear.

[2] W. Casselman: The unramified principal series of p-adic groups, I. The spherical function. Comp. Math. 40 (3) (1980) 387-406. | Numdam | MR 571057 | Zbl 0472.22004

[3] D. Keys: On the decomposition of reducible principal series representations of p-adic Chevalley groups. Pacific J. Math. 101 (1982) 351-388. | MR 675406 | Zbl 0438.22010

[4] D. Keys: Reducibility of unramified unitary principal series representations of p-adic groups and class-1 representations. Math. Annalen 260 (1982) 397-402. | MR 670188 | Zbl 0488.22026

[5] A.W. Knapp and E.M. Stein: Intertwining operators for semi-simple groups, II. Invent. Math. 60 (1980) 9-84. | MR 582703 | Zbl 0454.22010

[6] P.J. Sally and M.H. Taibleson: Special functions on locally compact fields. Acta Math. 116 (1966) 279-309. | MR 206349 | Zbl 0173.07005

[7] F. Rodier: Models de Whittaker et characteres de representations. In: Lecture Notes in Math. 466, Non-Commutative Harmonic Analysis, Springer-Verlag (1975), pp. 151-171. | MR 393355 | Zbl 0339.22014

[8] F. Shahidi: On certain L-functions. Amer. J. Math. 103 (2) (1981) 297-355. | MR 610479 | Zbl 0467.12013

[9] A. Silberger: Introduction to harmonic analysis on reductive p-adic groups (based on lectures by Harish-Chandra at IAS). Math Notes no. 23, Princeton University Press, N.J. (1979). | MR 544991 | Zbl 0458.22006

[10] A. Silberger: The Knapp-Stein dimension theorem for p-adic groups. Proc. Amer. Math. Soc. 68 (1978) 243-246, and "Correction", 76 (1979) 169-170. | MR 492091 | Zbl 0415.22020

[11] A. Silberger: Special representations reductive p-adic groups are not integrable. Ann. Math. 111 (1980) 571-587. | MR 577138 | Zbl 0437.22015