Skip to Main Content

Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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 Donkin’s tilting module conjecture I: lowering the prime
HTML articles powered by AMS MathViewer

by Christopher P. Bendel, Daniel K. Nakano, Cornelius Pillen and Paul Sobaje PDF
Represent. Theory 26 (2022), 455-497 Request permission


In this paper the authors provide a complete answer to Donkin’s Tilting Module Conjecture for all rank $2$ semisimple algebraic groups and $\operatorname {SL}_{4}(k)$ where $k$ is an algebraically closed field of characteristic $p>0$. In the process, new techniques are introduced involving the existence of $(p,r)$-filtrations, Lusztig’s character formula, and the $G_{r}$T-radical series for baby Verma modules.
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2020): 20J99, 20G05
  • Retrieve articles in all journals with MSC (2020): 20J99, 20G05
Additional Information
  • Christopher P. Bendel
  • Affiliation: Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, Wisconsin 54751
  • MR Author ID: 618335
  • Email:
  • Daniel K. Nakano
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 310155
  • ORCID: 0000-0001-7984-0341
  • Email:
  • Cornelius Pillen
  • Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
  • MR Author ID: 339756
  • Email:
  • Paul Sobaje
  • Affiliation: Department of Mathematical Sciences, Georgia Southern University, Statesboro, Georgia 30458
  • MR Author ID: 983585
  • Email:
  • Received by editor(s): July 30, 2021
  • Received by editor(s) in revised form: January 11, 2022
  • Published electronically: April 4, 2022
  • Additional Notes: The research of the first author was supported in part by Simons Foundation Collaboration Grant 317062. The research of the second author was supported in part by NSF grants DMS-1701768 and DMS-2101941. The research of the third author was supported in part by Simons Foundation Collaboration Grant 245236

  • Dedicated: In memory of James E. Humphreys
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 455-497
  • MSC (2020): Primary 20J99, 20G05
  • DOI:
  • MathSciNet review: 4403659