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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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Characters of Speh representations and Lewis Caroll identity
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by Gaëtan Chenevier and David Renard PDF
Represent. Theory 12 (2008), 447-452 Request permission

Abstract:

We give a new and elementary proof of Tadić formula for characters of Speh representations of $\mathrm {GL}(n,A)$, $A$ a central division algebra over a non-Archimedean local field, based on Lewis Caroll determinantal identity.
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Additional Information
  • Gaëtan Chenevier
  • Affiliation: Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91 128 Palaiseau, France
  • David Renard
  • Affiliation: Centre de Mathématiques Laurent Schwartz, École Polytechnique, 91 128 Palaiseau, France
  • Received by editor(s): May 26, 2008
  • Received by editor(s) in revised form: July 30, 2008
  • Published electronically: December 10, 2008
  • © Copyright 2008 American Mathematical Society
  • Journal: Represent. Theory 12 (2008), 447-452
  • MSC (2000): Primary 22E50, 11F70
  • DOI: https://doi.org/10.1090/S1088-4165-08-00339-7
  • MathSciNet review: 2465802