Classification of admissible nilpotent orbits in simple real Lie algebras $E_{6(6)}$ and $E_{6(-26)}$
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- by Alfred G. Noël
- Represent. Theory 5 (2001), 494-502
- DOI: https://doi.org/10.1090/S1088-4165-01-00142-X
- Published electronically: November 9, 2001
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Abstract:
This paper completes the classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie algebras. The author has previoulsly determined such orbits for exceptional real simple Lie algebras of inner type. Here he uses the same techniques, with some modifications, to classify the admissible nilpotent orbits of $E_{6(6)}$ and $E_{6(-26)}$ under their simply connected Lie groups.References
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Bibliographic 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
- Received by editor(s): May 18, 2001
- Received by editor(s) in revised form: August 17, 2001
- Published electronically: November 9, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Represent. Theory 5 (2001), 494-502
- MSC (2000): Primary 17B20, 17B70
- DOI: https://doi.org/10.1090/S1088-4165-01-00142-X
- MathSciNet review: 1870599