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.


Microlocal characterization of Lusztig sheaves for affine quivers and $g$-loops quivers
HTML articles powered by AMS MathViewer

by Lucien Hennecart
Represent. Theory 26 (2022), 17-67
Published electronically: February 11, 2022


We prove that for extended Dynkin quivers, simple perverse sheaves in Lusztig category are characterized by the nilpotency of their singular support. This proves a conjecture of Lusztig in the case of affine quivers. For cyclic quivers, we prove a similar result for a larger nilpotent variety and a larger class of perverse sheaves. We formulate conjectures concerning similar results for quivers with loops, for which we have to use the appropriate notion of nilpotent variety, due to Bozec, Schiffmann and Vasserot. We prove our conjecture for $g$-loops quivers ($g\geq 2$).
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2020): 16G20
  • Retrieve articles in all journals with MSC (2020): 16G20
Bibliographic Information
  • Lucien Hennecart
  • Affiliation: Université Paris-Saclay, CNRS, Laboratoire de mathématiques d’Orsay, 91405 Orsay, France
  • MR Author ID: 1450534
  • Email:
  • Received by editor(s): October 9, 2020
  • Received by editor(s) in revised form: September 13, 2021
  • Published electronically: February 11, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: Represent. Theory 26 (2022), 17-67
  • MSC (2020): Primary 16G20
  • DOI:
  • MathSciNet review: 4379987