The closure diagrams for nilpotent orbits of the real forms EVI and EVII of $\mathbf {E_7}$
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- by Dragomir Ž. Đoković
- Represent. Theory 5 (2001), 17-42
- DOI: https://doi.org/10.1090/S1088-4165-01-00112-1
- Published electronically: February 2, 2001
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Correction: Represent. Theory 5 (2001), 503-503.
Abstract:
Let $\mathcal {O}_1$ and $\mathcal {O}_2$ be adjoint nilpotent orbits in a real semisimple Lie algebra. Write $\mathcal {O}_1\geq \mathcal {O}_2$ if $\mathcal {O}_2$ is contained in the closure of $\mathcal {O}_1.$ This defines a partial order on the set of such orbits, known as the closure ordering. We determine this order for the two noncompact nonsplit real forms of the simple complex Lie algebra $E_7.$References
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Bibliographic Information
- Dragomir Ž. Đoković
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
- Email: djokovic@uwaterloo.ca
- Received by editor(s): August 15, 2000
- Received by editor(s) in revised form: December 6, 2000
- Published electronically: February 2, 2001
- Additional Notes: Supported in part by the NSERC Grant A-5285.
- © Copyright 2001 American Mathematical Society
- Journal: Represent. Theory 5 (2001), 17-42
- MSC (2000): Primary 05B15, 05B20; Secondary 05B05
- DOI: https://doi.org/10.1090/S1088-4165-01-00112-1
- MathSciNet review: 1826427