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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.

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$\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, I
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by George Lusztig and Zhiwei Yun PDF
Represent. Theory 21 (2017), 277-321 Request permission


We give a block decomposition of the equivariant derived category arising from a cyclically graded Lie algebra. This generalizes certain aspects of the generalized Springer correspondence to the graded setting.
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Additional Information
  • George Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Masssachusetts 02139
  • MR Author ID: 117100
  • Email:
  • Zhiwei Yun
  • Affiliation: Department of Mathematics, Yale University, New Haven, Connecticut 06511
  • MR Author ID: 862829
  • Email:
  • Received by editor(s): October 12, 2016
  • Received by editor(s) in revised form: June 23, 2017
  • Published electronically: September 14, 2017
  • Additional Notes: The first author was supported by NSF grant DMS-1566618.
    The second author was supported by NSF grant DMS-1302071 and the Packard Foundation.
  • © Copyright 2017 American Mathematical Society
  • Journal: Represent. Theory 21 (2017), 277-321
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 3697026