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The closure diagram for nilpotent orbits of the split real form of ${E_7}$


Author: Dragomir Z. Ðokovic
Journal: Represent. Theory 5 (2001), 284-316
MSC (2000): Primary 05B15, 05B20; Secondary 05B05
DOI: https://doi.org/10.1090/S1088-4165-01-00124-8
Published electronically: October 3, 2001
MathSciNet review: 1857083
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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 split real form EV of $E_7.$


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Additional Information

Dragomir Z. Ðokovic
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
Email: djokovic@uwaterloo.ca

DOI: https://doi.org/10.1090/S1088-4165-01-00124-8
Received by editor(s): March 9, 2001
Received by editor(s) in revised form: August 17, 2001
Published electronically: October 3, 2001
Additional Notes: Supported in part by the NSERC Grant A-5285
Article copyright: © Copyright 2001 American Mathematical Society