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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Why any unitary principal series representation of $SL_n$ over a $p$-adic field decomposes simply

Author(s): Roger Howe; Allan Silberger
Journal: Bull. Amer. Math. Soc. 81 (1975), Part 1:599-601.
MSC (1970): Primary 22E50; Secondary 22E35, 22D10, 22D30
MathSciNet review: 0369623
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References | Similar articles | Additional information

References:

1.
R. Howe, The Fourier transform and germs of characters (Case of GL, Math. Ann. 208 (1974), 305-322. MR 342645
2.
R. Howe and A. Silberger, Any unitary principal series representation of GL, Proc. Amer. Math. Soc. (to appear). MR 422521
3.
A. Knapp, Commutativity of intertwining operators, Bull. Amer. Math. Soc. 79 (1973), 1016-1018. MR 333074
4.
F. Rodier, Whittaker models for admissible representations of reductive p-adic split groups, Proc. Sympos. Pure Math., vol. 26, Amer. Math. Soc., Providence, R. I., 1974, pp. 425-430. MR 354942
5.
F. Rodier, Modèles de Whittaker et caractères de représentations (preprint). MR 393355

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Additional Information:

DOI: 10.1090/S0002-9904-1975-13750-5
PII: S 0002-9904(1975)13750-5




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