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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


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
Published electronically: February 2, 2001

Correction: Represent. Theory 5 (2001), 503-503.


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 $E_7.$
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Bibliographic Information
  • Dragomir Ž. Đoković
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • Email:
  • 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:
  • MathSciNet review: 1826427