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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.


Towards combinatorial invariance for Kazhdan-Lusztig polynomials
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by Charles Blundell, Lars Buesing, Alex Davies, Petar Veličković and Geordie Williamson
Represent. Theory 26 (2022), 1145-1191
Published electronically: November 16, 2022


Kazhdan-Lusztig polynomials are important and mysterious objects in representation theory. Here we present a new formula for their computation for symmetric groups based on the Bruhat graph. Our approach suggests a solution to the combinatorial invariance conjecture for symmetric groups, a well-known conjecture formulated by Lusztig and Dyer in the 1980s.
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Bibliographic Information
  • Charles Blundell
  • Affiliation: DeepMind, London, United Kingdom
  • MR Author ID: 962552
  • Email:
  • Lars Buesing
  • Affiliation: DeepMind, London, United Kingdom
  • MR Author ID: 822882
  • Email:
  • Alex Davies
  • Affiliation: DeepMind, London, United Kingdom
  • Email:
  • Petar Veličković
  • Affiliation: DeepMind, London, United Kingdom
  • Email:
  • Geordie Williamson
  • Affiliation: University of Sydney, Sydney, Australia
  • MR Author ID: 845262
  • Email:
  • Received by editor(s): February 27, 2022
  • Received by editor(s) in revised form: May 19, 2022
  • Published electronically: November 16, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 1145-1191
  • MSC (2020): Primary 05E10, 17B10
  • DOI:
  • MathSciNet review: 4510816