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Principal nilpotent orbits and reducible principal series
Author(s):
Wentang
Kuo
Journal:
Represent. Theory
6
(2002),
127-159.
MSC (2000):
Primary 22E50;
Secondary 22E35
Posted:
July 25, 2002
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Abstract:
Let  be a split reductive  -adic group. In this paper, we establish an explicit link between principal nilpotent orbits of  and the irreducible constituents of principal series of  . A geometric characterization of certain irreducible constituents is also provided.
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Additional Information:
Wentang
Kuo
Affiliation:
Department of Mathematics, Purdue University, MATH 726, West Lafayette, Indiana 47906
Address at time of publication:
Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada, K7L 3N6
Email:
wtkuo@mast.queensu.ca
DOI:
10.1090/S1088-4165-02-00132-2
PII:
S 1088-4165(02)00132-2
Keywords:
Nilpotent orbits,
reducible principal series,
$p$-adic groups
Received by editor(s):
July 15, 2001
Received by editor(s) in revised form:
April 11, 2002
Posted:
July 25, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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