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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.


Unipotent representations attached to the principal nilpotent orbit
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by Lucas Mason-Brown
Represent. Theory 25 (2021), 844-860
Published electronically: October 7, 2021


In this paper, we construct and classify the special unipotent representations of a real reductive group attached to the principal nilpotent orbit. We give formulas for the $\mathbf {K}$-types, associated varieties, and Langlands parameters of all such representations.
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Bibliographic Information
  • Lucas Mason-Brown
  • Affiliation: Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG England
  • Email:
  • Received by editor(s): May 26, 2021
  • Published electronically: October 7, 2021
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 844-860
  • MSC (2020): Primary 22E46
  • DOI:
  • MathSciNet review: 4322395