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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.


Quivers for $\mathrm {SL}_{2}$ tilting modules
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by Daniel Tubbenhauer and Paul Wedrich
Represent. Theory 25 (2021), 440-480
Published electronically: June 3, 2021


Using diagrammatic methods, we define a quiver with relations depending on a prime $\mathsf {p}$ and show that the associated path algebra describes the category of tilting modules for $\mathrm {SL}_{2}$ in characteristic $\mathsf {p}$. Along the way we obtain a presentation for morphisms between $\mathsf {p}$-Jones–Wenzl projectors.
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Bibliographic Information
  • Daniel Tubbenhauer
  • Affiliation: Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, Campus Irchel, Office Y27J32, CH-8057 Zürich, Switzerland
  • MR Author ID: 1067860
  • ORCID: 0000-0001-7265-5047
  • Email:
  • Paul Wedrich
  • Affiliation: Mathematical Sciences Institute, The Australian National University, Hanna Neumann Building, Canberra ACT 2601, Australia
  • MR Author ID: 1152159
  • ORCID: 0000-0002-2517-7924
  • Email:
  • Received by editor(s): February 11, 2020
  • Received by editor(s) in revised form: November 25, 2020
  • Published electronically: June 3, 2021
  • Additional Notes: The second author was supported by Australian Research Council grants ‘Braid groups and higher representation theory’ DP140103821 and ‘Low dimensional categories’ DP160103479.
  • © Copyright 2021 American Mathematical Society
  • Journal: Represent. Theory 25 (2021), 440-480
  • MSC (2020): Primary 20G05, 20C20; Secondary 16D90, 17B10, 20G40
  • DOI:
  • MathSciNet review: 4273168