Abstract
An elementary proof of Zelevinsky’s classification for representations of GL(n) with an Iwahori-fixed vector is given using the theory of Hecke algebras.
Similar content being viewed by others
References
D. Kazhdan and G. Lusztig,Representations of Coxeter groups and Hecke algebras, Inventiones Math.53 (1979), 165–184.
G. Lusztig,Some examples of square-integrable representations of p-adic groups, Trans. Amer. Math. Soc.277 (1983), 623–653.
G. Lusztig,Singularities, character formulas, weight multiplicities, inAnalyse et topologie sur les espaces singuliers, Asterisque, Vol. 101–102, Soc. Math. France, 1983.
J. Rogawski,On modules over the Hecke algebra of a p-adic group, Inventiones Math.79, Fasc. 3 (1985), 443–465.
A. Zelevinsky,Induced representations of reductive p-adic groups II, Ann. Sci. Ec. Norm. Sup., 4e serie,13 (1980), 165–210.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rogawski, J.D. Representations of GL(n) over ap-adic field with an Iwahori-fixed vector. Israel J. Math. 54, 242–256 (1986). https://doi.org/10.1007/BF02764944
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02764944