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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.


Functions on the model orbit in $E_8$
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by Jeffrey Adams, Jing-Song Huang and David A. Vogan, Jr.
Represent. Theory 2 (1998), 224-263
Published electronically: June 2, 1998


We decompose the ring of regular functions on the unique coadjoint orbit for complex $E_{8}$ of dimension 128, finding that every irreducible representation appears exactly once. This confirms a conjecture of McGovern. We also study the unique real form of this orbit.
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Bibliographic Information
  • Jeffrey Adams
  • Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
  • Email:
  • Jing-Song Huang
  • Affiliation: Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
  • MR Author ID: 304754
  • Email:
  • David A. Vogan, Jr.
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
  • Email:
  • Received by editor(s): March 24, 1998
  • Received by editor(s) in revised form: April 17, 1998
  • Published electronically: June 2, 1998
  • Additional Notes: The first author was supported in part by NSF grant DMS-94-01074. The second author was partially supported by RGC-CERG grant number HKUST588/94P and HKUST713/96P. The third author was supported in part by NSF grant DMS-94-02994.
  • © Copyright 1998 American Mathematical Society
  • Journal: Represent. Theory 2 (1998), 224-263
  • MSC (1991): Primary 20G15, 22E46
  • DOI:
  • MathSciNet review: 1628031