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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 |
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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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22E50, 22E35, 22D10, 22D30
Additional Information:
DOI:
10.1090/S0002-9904-1975-13750-5
PII:
S 0002-9904(1975)13750-5
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