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Nice parabolic subalgebras of reductive Lie algebras
Author(s):
Karin
Baur;
Nolan
Wallach
Journal:
Represent. Theory
9
(2005),
1-29.
MSC (2000):
Primary 17B45
Posted:
January 10, 2005
Errata:
Represent. Theory 9 (2005), 267-267.
MathSciNet review:
2123123
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Abstract:
This paper gives a classification of parabolic subalgebras of simple Lie algebras over  that are complexifications of parabolic subalgebras of real forms for which Lynch's vanishing theorem for generalized Whittaker modules is non-vacuous. The paper also describes normal forms for the admissible characters in the sense of Lynch (at least in the quasi-split cases) and analyzes the important special case when the parabolic is defined by an even embedded TDS (three-dimensional simple Lie algebra).
References:
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- [W]
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Additional Information:
Karin
Baur
Affiliation:
Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
Email:
kbaur@math.ucsd.edu
Nolan
Wallach
Affiliation:
Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112
Email:
nwallach@math.ucsd.edu
DOI:
10.1090/S1088-4165-05-00262-1
PII:
S 1088-4165(05)00262-1
Received by editor(s):
October 5, 2004
Received by editor(s) in revised form:
November 1, 2004
Posted:
January 10, 2005
Additional Notes:
First named author supported by the Swiss National Science Foundation
Second named author partially supported by an NSF summer grant
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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