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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.


Robinson–Schensted–Knuth correspondence in the representation theory of the general linear group over a non-archimedean local field
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by Maxim Gurevich and Erez Lapid; with an appendix by Mark Shimozono
Represent. Theory 25 (2021), 644-678
Published electronically: July 28, 2021


We construct new “standard modules” for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson–Schensted–Knuth correspondence for Zelevinsky’s multisegments.

Typically, the new class categorifies the basis of Doubilet, Rota, and Stein (DRS) for matrix polynomial rings, indexed by bitableaux. Hence, our main result provides a link between the dual canonical basis (coming from quantum groups) and the DRS basis.

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Bibliographic Information
  • Maxim Gurevich
  • Affiliation: Department of Mathematics, Technion – Israel Institute of Technology, Haifa, Israel
  • MR Author ID: 1200700
  • ORCID: 0000-0003-4693-0556
  • Email:
  • Erez Lapid
  • Affiliation: Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel
  • MR Author ID: 631395
  • ORCID: 0000-0001-7204-6452
  • Email:
  • Mark Shimozono
  • MR Author ID: 361111
  • Email:
  • Received by editor(s): June 18, 2020
  • Received by editor(s) in revised form: October 8, 2020, and May 4, 2021
  • Published electronically: July 28, 2021
  • Additional Notes: The first author was partially supported by the Israel Science Foundation (grant No. 737/20)
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 644-678
  • MSC (2020): Primary 05E10, 22E50
  • DOI:
  • MathSciNet review: 4293086