Bulletin of the American Mathematical Society

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

Article information

Source
Bull. Amer. Math. Soc., Volume 81Number 3, Part 1 (1975), 599-601.

Dates
First available in Project Euclid: 4 July 2007

https://projecteuclid.org/euclid.bams/1183536881

Mathematical Reviews number (MathSciNet)
MR0369623

Zentralblatt MATH identifier
0305.22018

Citation

Howe, Roger; Silberger, Allan. Why any unitary principal series representation of $SL_n$ over a $p$-adic field decomposes simply. Bull. Amer. Math. Soc. 81 (1975), 599--601. https://projecteuclid.org/euclid.bams/1183536881

References

• ﻿1. R. Howe, The Fourier transform and germs of characters (Case of GLn over a p-adic field), Math. Ann. 208 (1974), 305-322.
• 2. R. Howe and A. Silberger, Any unitary principal series representation of GLn over a p-adic field is irreducible, Proc. Amer. Math. Soc. (to appear).
• 3. A. Knapp, Commutativity of intertwining operators, Bull. Amer. Math. Soc. 79 (1973), 1016-1018.
• 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.
• 5. F. Rodier, Modèles de Whittaker et caractères de représentations (preprint).