|
Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
Retrieve article in:
PDF
Book Information
Author(s):
Colin J. Bushnell and Philip C. Kutzko
Title:
The admissible dual of $\roman {GL}(N)$ via compact open subgroups
Additional book information:
Princeton University Press, Princeton, NJ, 1993, ix + 313 pp., US$59.50. ISBN 0-691-03256-4
References:
- [B]
- A. Borel, Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup, Invent. Math. \textbf{35} (1976), 233--259.
- [Bu]
- C. J. Bushnell, Hereditary orders, Gauss sums and supercuspidal representations of $\roman {GL}_N$, J. Reine Angew. Math. \textbf{375/376} (1987), 184--210.
- [Ca]
- H. Carayol, Repr\'esentations cuspidales du groupe lin\'eaire, Ann. Sci. \'Ecole Norm. Sup (4) \textbf{17} (1984), 191--225.
- [He]
- G. Henniart, \emph{Repr\'esentations des groupes r\'eductifs $p$-adiques}, Ast\'erisque {\bf 201--202-203} \rm (1991), 193--219.
- [H1]
- R. Howe, Tamely ramified supercuspidal representations of $\roman {GL}_n$, Pacific J. Math. \textbf{73} (1977), 437--460.
- [H2]
- R. Howe, Some qualitative results on the representation theory of $\roman {GL}_n$ over a $p$-adic field, Pacific J. Math. \textbf{73} (1977), 479--538.
- [H3]
- R. Howe, Classification of irreducible representations of $\roman {GL}_2(F)$ \RM (\<$F$ a local field\/\RM ), Inst. Hautes \'Etudes Sci., preprint, 1978.
- [HM1]
- R. Howe and A. Moy, \emph{Harish--Chandra homomorphisms for $p$-adic groups}, Amer. Math. Soc., Providence, RI, 1985.
- [HM2]
- R. Howe and A. Moy, Minimal $K$-types for $\roman {GL}(n)$ over a $p$-adic field, Ast\'erisque {\bf 171--172} (1989), 257--273.
- [IM]
- N. Iwahori and H. Matsumoto, On some decomposition and the structure of the Hecke rings of the $p$-adic Chevalley groups, Inst. Hautes \'Etudes Sci. Publ. Math. \textbf{25} (1965), 5--48.
- [KL]
- D.Kazhdan and G. Lusztig, Proof of the Deligne---Langlands conjecture for Hecke algebras, Invent. Math. \textbf{87} (1987), 153--215.
- [K]
- P. C. Kutzko, On the supercuspidal representation of $\roman {GL}_2$. \RM {II}, Amer. J. Math. \textbf{100} (1978), 705--716.
- [Ma]
- F. I. Mautner, Spherical functions over $p$-adic fields. \RM {I, II}, Amer. J. Math. \textbf{80} (1958), 441--457.
- [M]
- A. Moy, \emph{A conjecture on minimal $K$ types for $\roman {GL}_n$ over a $p$-adic field}, Amer. Math. Soc., Providence, RI, 1989 pp.~249--254.
- [R]
- F. Rodier, Repr\'esentations de $\roman {GL}(n,k)$ o\`u k est un corps $p$-adique, S\'em. Bourbaki, no. 587, Ast\'erisque {\bf 92--93} (1982), 201--218.
- [Wa]
- J.-L. Waldspurger, Alg\`ebres de Hecke et induites de repr\'esentations cuspidales, pour $\roman {GL}_n$, J. Reine Angew. Math. \textbf{370} (1986), 127--191.
Additional Information:
Reviewer(s):
Lawrence
Morris
Review Information:
Journal:
Bull. Amer. Math. Soc.
30
(1994),
295-301.
DOI:
10.1090/S0273-0979-1994-00472-0
PII:
S 0273-0979(1994)00472-0
|
Comments: webmaster@ams.org