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Howe, Roger; Silberger, Allan

Why any unitary principal series representation of \(SL_n\) over a p-adic field decomposes simply. (English) Zbl 0305.22018

Bull. Am. Math. Soc. 81, 599-601 (1975).
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22E50 Representations of Lie and linear algebraic groups over local fields
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[1] Roger Howe, The Fourier transform and germs of characters (case of \?\?_{\?} over a \?-adic field), Math. Ann. 208 (1974), 305 – 322. · Zbl 0266.43007 · doi:10.1007/BF01432155
[2] Roger Howe and Allan Silberger, Any unitary principal series representation of (\?\?)_{\?} over a \?-adic field is irreducible, Proc. Amer. Math. Soc. 54 (1975), 376 – 378. · Zbl 0317.22011
[3] A. W. Knapp, Commutativity of intertwining operators, Bull. Amer. Math. Soc. 79 (1973), 1016 – 1018. · Zbl 0269.22012
[4] François Rodier, Whittaker models for admissible representations of reductive \?-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.
[5] F. Rodier, Modèle de Whittaker et caractères de représentations, Non-commutative harmonic analysis (Actes Colloq., Marseille-Luminy, 1974), Springer, Berlin, 1975, pp. 151 – 171. Lecture Notes in Math., Vol. 466 (French). · Zbl 0339.22014
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