@article{CM_1980__40_3_387_0, author = {Casselman, William}, title = {The unramified principal series of $p$-adic groups. {I.} {The} spherical function}, journal = {Compositio Mathematica}, pages = {387--406}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {40}, number = {3}, year = {1980}, zbl = {0472.22004}, mrnumber = {571057}, language = {en}, url = {http://www.numdam.org/item/CM_1980__40_3_387_0/} }
TY - JOUR AU - Casselman, William TI - The unramified principal series of $p$-adic groups. I. The spherical function JO - Compositio Mathematica PY - 1980 DA - 1980/// SP - 387 EP - 406 VL - 40 IS - 3 PB - Sijthoff et Noordhoff International Publishers UR - http://www.numdam.org/item/CM_1980__40_3_387_0/ UR - https://zbmath.org/?q=an%3A0472.22004 UR - https://www.ams.org/mathscinet-getitem?mr=571057 LA - en ID - CM_1980__40_3_387_0 ER -
Casselman, W. The unramified principal series of $p$-adic groups. I. The spherical function. Compositio Mathematica, Tome 40 (1980) no. 3, pp. 387-406. http://www.numdam.org/item/CM_1980__40_3_387_0/
[1] Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup. Inventiones Math. 35 (1976) 233-259. | MR 444849 | Zbl 0334.22012
:[2] Groupes réductifs, Publ. Math. I.H.E.S. 27 (1965) 55-151. | Numdam | MR 207712 | Zbl 0145.17402
and :[3] Compléments à l'article "Groupes.réductifs", Publ. Math. I.H.E.S. 41 (1972) 253-276. | Numdam | MR 315007 | Zbl 0254.14018
and :[4] Homomorphismes "abstraits" de groupes algebriques simples. Annals of Math. 97 (1973) 499-571. | MR 316587 | Zbl 0272.14013
and :[5] Groupes et algèbres de Lie. Chapitres IV, V, et VI. Hermann, Paris, 1968. | MR 240238
:[6] Groupes réductifs sur un corps local, Publ. Math. I.H.E.S. 41 (1972) 1-251. | Numdam | MR 327923 | Zbl 0254.14017
and :[7] Introduction to the theory of admissible representations of p-adic reductive groups (to appear).
:[8] Generalized Tits systems on p-adic semi-simple groups, in Algebraic Groups and Discontinuous Subgroups. Proc. Symp. Pure Math. IX. A.M.S., Providence, 1966. | MR 215858 | Zbl 0199.06901
:[9] Spherical functions on a p-adic Chevalley group. Bull. Amer. Math. Soc. 74 (1968) 520-525. | MR 222089 | Zbl 0273.22012
:[10] Spherical functions on a group of p-adic type. University of Madras, 1971. | MR 435301
:[11] Lectures on Chevalley groups. Yale University Lecture Notes, 1967. | MR 466335
:[12] Analyse Harmonique dans les Système de Tits Bomologiques de Type Affine. Springer Lecture Notes#590, Berlin, 1977. | MR 579177 | Zbl 0366.22001
:[13] Reductive groups over local fields. Proc. Symp. Pure Math. XXXIII, Amer. Math. Soc., Providence, 1978. | MR 546588 | Zbl 0415.20035
: