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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.


On typical representations for depth-zero components of split classical groups
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by Santosh Nadimpalli and Amiya Kumar Mondal
Represent. Theory 23 (2019), 249-277
Published electronically: September 12, 2019


Let $\mathbf {G}$ be a split classical group over a non-Archimedean local field $F$ with the cardinality of the residue field $q_F>5$. Let $M$ be the group of $F$-points of a Levi factor of a proper $F$-parabolic subgroup of $\mathbf {G}$. Let $[M, \sigma _M]_M$ be an inertial class such that $\sigma _M$ contains a depth-zero Moy–Prasad type of the form $(K_M, \tau _M)$, where $K_M$ is a hyperspecial maximal compact subgroup of $M$. Let $K$ be a hyperspecial maximal compact subgroup of $\mathbf {G}(F)$ such that $K$ contains $K_M$. In this article, we classify $\mathfrak {s}$-typical representations of $K$. In particular, we show that the $\mathfrak {s}$-typical representations of $K$ are precisely the irreducible subrepresentations of $\operatorname {ind}_J^K\lambda$, where $(J, \lambda )$ is a level-zero $G$-cover of $(K\cap M, \tau _M)$.
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Bibliographic Information
  • Santosh Nadimpalli
  • Affiliation: IMAPP, Radboud Universiteit Nijmegen, Heyendaalseweg 135, 6525AJ Nijmegen, the Netherlands
  • MR Author ID: 1183126
  • ORCID: 0000-0002-2637-6159
  • Email:,
  • Amiya Kumar Mondal
  • Affiliation: Department of Mathematics, Bar-Ilan University, Ramat Gan 529002, Israel
  • MR Author ID: 1115151
  • Email:,
  • Received by editor(s): October 2, 2018
  • Received by editor(s) in revised form: August 7, 2019
  • Published electronically: September 12, 2019
  • Additional Notes: The first author was supported by the NWO Vidi grant “A Hecke algebra approach to the local Langlands correspondence” (nr. 639.032.528)
    The second author was funded by Israel Science Foundation grant No. 421/17 (Mondal)
  • © Copyright 2019 American Mathematical Society
  • Journal: Represent. Theory 23 (2019), 249-277
  • MSC (2010): Primary 22E50; Secondary 11F70
  • DOI:
  • MathSciNet review: 4007167