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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.


Unitary representations of totally disconnected locally compact groups satisfying Ol′šhanskiĭ’s factorisation
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by Lancelot Semal
Represent. Theory 27 (2023), 356-414
Published electronically: June 28, 2023


Inspired by Ol′šhanskiĭ’s work, we provide an axiomatic framework to describe certain irreducible unitary representations of non-discrete unimodular totally disconnected locally compact groups. We look at the applications to certain groups of automorphisms of locally finite trees and semi-regular right-angled buildings.
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Bibliographic Information
  • Lancelot Semal
  • Affiliation: UCLouvain, Chemin du Cyclotron 2/L7.01.02, 1348 Louvain-la-Neuve, Belgium
  • Email:
  • Received by editor(s): July 12, 2021
  • Received by editor(s) in revised form: March 9, 2022, October 17, 2022, and November 23, 2022
  • Published electronically: June 28, 2023
  • Additional Notes: This research was completed while the author was an F.R.S.-FNRS Research Fellow.
  • © Copyright 2023 American Mathematical Society
  • Journal: Represent. Theory 27 (2023), 356-414
  • MSC (2020): Primary 22D12, 20E08, 57M07, 51E24
  • DOI:
  • MathSciNet review: 4609145