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Classification of one  -type representations
Author(s):
Dan
Barbasch;
Allen
Moy
Journal:
Trans. Amer. Math. Soc.
351
(1999),
4245-4261.
MSC (1991):
Primary 22E50;
Secondary 20G05
Posted:
June 29, 1999
MathSciNet review:
1473430
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Abstract:
Suppose  is a simple reductive  -adic group with Weyl group  . We give a classification of the irreducible representations of  which can be extended to real hermitian representations of the associated graded Hecke algebra  . Such representations correspond to unitary representations of  which have a small spectrum when restricted to an Iwahori subgroup.
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Additional Information:
Dan
Barbasch
Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York 14853
Email:
barbasch@math.cornell.edu
Allen
Moy
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
moy@math.loa.umich.edu
DOI:
10.1090/S0002-9947-99-02171-6
PII:
S 0002-9947(99)02171-6
Received by editor(s):
July 1, 1996
Received by editor(s) in revised form:
June 23, 1997
Posted:
June 29, 1999
Additional Notes:
The authors were supported in part by NSF grants DMS--9401176 and DMS--9500973
Copyright of article:
Copyright
1999,
American Mathematical Society
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