Skip to Main Content

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 an analogue of the James conjecture
HTML articles powered by AMS MathViewer

by Geordie Williamson
Represent. Theory 18 (2014), 15-27
Published electronically: February 7, 2014


We give a counterexample to the most optimistic analogue (due to Kleshchev and Ram) of the James conjecture for Khovanov-Lauda-Rouquier algebras associated to simply-laced Dynkin diagrams. The first counterexample occurs in type $A_5$ for $p = 2$ and involves the same singularity used by Kashiwara and Saito to show the reducibility of the characteristic variety of an intersection cohomology $D$-module on a quiver variety. Using recent results of Polo one can give counterexamples in type $A$ in all characteristics.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 20C08, 20C20, 20C30
  • Retrieve articles in all journals with MSC (2010): 20C08, 20C20, 20C30
Bibliographic Information
  • Geordie Williamson
  • Affiliation: Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
  • MR Author ID: 845262
  • Email:
  • Received by editor(s): April 4, 2013
  • Received by editor(s) in revised form: May 10, 2013, and October 2, 2013
  • Published electronically: February 7, 2014

  • Dedicated: Dedicated to Jimi
  • © Copyright 2014 American Mathematical Society
  • Journal: Represent. Theory 18 (2014), 15-27
  • MSC (2010): Primary 20C08, 20C20, 20C30
  • DOI:
  • MathSciNet review: 3163410