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Classification of admissible nilpotent orbits in simple exceptional real Lie algebras of inner type


Author: Alfred G. Noël
Journal: Represent. Theory 5 (2001), 455-493
MSC (2000): Primary 17B20, 17B70
DOI: https://doi.org/10.1090/S1088-4165-01-00141-8
Published electronically: November 9, 2001
MathSciNet review: 1870598
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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: https://doi.org/10.1090/S1088-4165-01-00141-8
Keywords: Admissible, nilpotent orbits, reductive Lie algebras
Received by editor(s): April 5, 2001
Received by editor(s) in revised form: September 28, 2001
Published electronically: November 9, 2001
Article copyright: © Copyright 2001 American Mathematical Society