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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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The closure diagram for nilpotent orbits of the split real form of ${E_7}$
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by Dragomir Ž. Đoković PDF
Represent. Theory 5 (2001), 284-316 Request permission


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 $E_7.$
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Additional Information
  • Dragomir Ž. Đoković
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • Email:
  • 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:
  • MathSciNet review: 1857083