Why any unitary principal series representation of $SL_n$ over a $p$-adic field decomposes simply
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- by Roger Howe and Allan Silberger PDF
- Bull. Amer. Math. Soc. 81 (1975), 599-601
References
- Roger Howe, The Fourier transform and germs of characters (case of $\textrm {Gl}_{n}$ over a $p$-adic field), Math. Ann. 208 (1974), 305–322. MR 342645, DOI 10.1007/BF01432155
- Roger Howe and Allan Silberger, Any unitary principal series representation of $(GL)_{n}$ over a $p$-adic field is irreducible, Proc. Amer. Math. Soc. 54 (1975), 376–378. MR 422521, DOI 10.1090/S0002-9939-1976-0422521-4
- A. W. Knapp, Commutativity of intertwining operators, Bull. Amer. Math. Soc. 79 (1973), 1016–1018. MR 333074, DOI 10.1090/S0002-9904-1973-13308-7
- François Rodier, Whittaker models for admissible representations of reductive $p$-adic split groups, Harmonic analysis on homogeneous spaces (Proc. Sympos. Pure Math., Vol. XXVI, Williams Coll., Williamstown, Mass., 1972) Amer. Math. Soc., Providence, R.I., 1973, pp. 425–430. MR 0354942
- F. Rodier, Modèle de Whittaker et caractères de représentations, Non-commutative harmonic analysis (Actes Colloq., Marseille-Luminy, 1974), Lecture Notes in Math., Vol. 466, Springer, Berlin, 1975, pp. 151–171 (French). MR 0393355
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 599-601
- MSC (1970): Primary 22E50; Secondary 22E35, 22D10, 22D30
- DOI: https://doi.org/10.1090/S0002-9904-1975-13750-5
- MathSciNet review: 0369623