## Reducibility of unramified unitary principal series representations of p- adic groups and class-1 representations.(English)Zbl 0488.22026

### MSC:

 2.2e+47 Semisimple Lie groups and their representations 2.2e+36 Analysis on $$p$$-adic Lie groups

Zbl 0477.22012
Full Text:

### References:

 [1] Bruhat, F., Tits, J.: Groupes reductifs sur un corps local. Publ. I.H.E.S.41, 5-252 (1972) [2] Keys. D.: On the decomposition of reducible principal series representations ofp-adic Chevalley groups (to appear in Pacific J.) · Zbl 0438.22010 [3] Knapp, A.W., Stein, E.M.: Interwining operators for semi-simple groups. II. Inventiones Math.60, 9-84 (1980) · Zbl 0454.22010 [4] MacDonald, I.G.: Spherical functions on a group ofp-adic type. Ramanujan Institute, University of Madras, Madras, India, 1972 [5] Satake, I.: Theory of spherical functions on reductive algebraic groups overp-adic fields. Publ. I.H.E.S.18, 5-70 (1963) [6] Silberger, A.: Introduction to harmonic analysis on reductivep-adic groups. Math. Notes, Vol. 23. Princeton, NJ: Princeton University Press 1979 · Zbl 0458.22006 [7] Silberger, A.: The Knapp-Stein dimension theorem forp-adic groups (to appear) · Zbl 0415.22020 [8] Tits, J.: Reductive groups over local fields. In: Automorphic forms, representations andL-functions. Providence: American Mathematical Society 1979 · Zbl 0415.20035
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.