Classification of one $\textsf K$-type representations
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- by Dan Barbasch and Allen Moy PDF
- Trans. Amer. Math. Soc. 351 (1999), 4245-4261 Request permission
Abstract:
Suppose $G$ is a simple reductive $p$-adic group with Weyl group $W$. We give a classification of the irreducible representations of $W$ which can be extended to real hermitian representations of the associated graded Hecke algebra $\mathbb {H}$. Such representations correspond to unitary representations of $G$ which have a small spectrum when restricted to an Iwahori subgroup.References
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Additional Information
- Dan Barbasch
- Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
- MR Author ID: 30950
- Email: barbasch@math.cornell.edu
- Allen Moy
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 127665
- Email: moy@math.loa.umich.edu
- Received by editor(s): July 1, 1996
- Received by editor(s) in revised form: June 23, 1997
- Published electronically: June 29, 1999
- Additional Notes: The authors were supported in part by NSF grants DMS–9401176 and DMS–9500973
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 4245-4261
- MSC (1991): Primary 22E50; Secondary 20G05
- DOI: https://doi.org/10.1090/S0002-9947-99-02171-6
- MathSciNet review: 1473430