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


Authors: Roger Howe and Allan Silberger
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
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References [Enhancements On Off] (What's this?)

  • 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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DOI: https://doi.org/10.1090/S0002-9904-1975-13750-5

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