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Classification of admissible nilpotent orbits in simple exceptional real Lie algebras of inner type
Author(s):
Alfred
G.
Noël
Journal:
Represent. Theory
5
(2001),
455-493.
MSC (2000):
Primary 17B20, 17B70
Posted:
November 9, 2001
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Abstract:
In this paper we give a classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie groups of inner type. We use a lemma of Takuya Ohta and some information from the work of Dragomir Djokovic to construct a simple algorithm which allows us to decide the admissiblity of a given orbit.
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Additional Information:
Alfred
G.
Noël
Affiliation:
Department of Mathematics, University of Massachusetts, Boston, Massachusetts 02125
Address at time of publication:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
alfred.noel@umb.edu
DOI:
10.1090/S1088-4165-01-00141-8
PII:
S 1088-4165(01)00141-8
Keywords:
Admissible,
nilpotent orbits,
reductive Lie algebras
Received by editor(s):
April 5, 2001
Received by editor(s) in revised form:
September 28, 2001
Posted:
November 9, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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