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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.


Involutions on pro-$p$-Iwahori Hecke algebras
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by Noriyuki Abe
Represent. Theory 23 (2019), 57-87
Published electronically: January 22, 2019


The pro-$p$-Iwahori Hecke algebra has an involution $\iota$ defined in terms of the Iwahori-Matsumoto basis. Then for a module $\pi$ of pro-$p$-Iwahori Hecke, $\pi ^\iota = \pi \circ \iota$ is also a module. We calculate $\pi ^\iota$ for simple modules $\pi$. We also calculate the dual of $\pi$. These calculations will be used for calculating the extensions between simple modules.
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Bibliographic Information
  • Noriyuki Abe
  • Affiliation: Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810, Japan
  • MR Author ID: 858099
  • Email:
  • Received by editor(s): February 6, 2018
  • Received by editor(s) in revised form: September 30, 2018
  • Published electronically: January 22, 2019
  • Additional Notes: The work was supported by JSPS KAKENHI Grant Number 26707001.
  • © Copyright 2019 American Mathematical Society
  • Journal: Represent. Theory 23 (2019), 57-87
  • MSC (2010): Primary 20C08, 20G25
  • DOI:
  • MathSciNet review: 3902325