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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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Comparisons of general linear groups and their metaplectic coverings II
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by Paul Mezo PDF
Represent. Theory 5 (2001), 524-580 Request permission

Abstract:

Let $\mathbf {A}$ be the adele ring of a number field containing the $n$th roots of unity, and let $\widetilde {\mathrm {GL}}(r,\mathbf {A})$ be an $n$-fold metaplectic covering of $\mathrm {GL}(r,\mathbf {A})$. Under an assumption on $n$, we prove identities between all of the terms in Arthur’s invariant trace formulas for $\widetilde {\mathrm {GL}}(r,\mathbf {A})$ and $\mathrm {GL}(r,\mathbf {A})$. We then establish a correspondence between the automorphic representations of these groups.
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Additional Information
  • Paul Mezo
  • Affiliation: Max-Planck-Institut für Mathematik, PB: 7280, D-53072 Bonn, Germany
  • Address at time of publication: Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2G3 Canada
  • Email: pmeto@math.toronto.edu
  • Received by editor(s): August 20, 2000
  • Received by editor(s) in revised form: August 13, 2001
  • Published electronically: November 27, 2001
  • © Copyright 2001 American Mathematical Society
  • Journal: Represent. Theory 5 (2001), 524-580
  • MSC (2000): Primary 11F70; Secondary 11F72, 22E55
  • DOI: https://doi.org/10.1090/S1088-4165-01-00110-8
  • MathSciNet review: 1870602