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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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Unipotent representations attached to the principal nilpotent orbit
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by Lucas Mason-Brown PDF
Represent. Theory 25 (2021), 844-860 Request permission

Abstract:

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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Additional Information
  • Lucas Mason-Brown
  • Affiliation: Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG England
  • Email: lucas.mason-brown@maths.ox.ac.uk
  • 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: https://doi.org/10.1090/ert/586
  • MathSciNet review: 4322395