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

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- by Dragomir Ž. Đoković
- Represent. Theory
**5**(2001), 284-316 - DOI: https://doi.org/10.1090/S1088-4165-01-00124-8
- Published electronically: October 3, 2001
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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 E V of $E_7.$## 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): 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
- © Copyright 2001 American Mathematical Society
- 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
- MathSciNet review: 1857083