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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.


$\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, II
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by George Lusztig and Zhiwei Yun
Represent. Theory 21 (2017), 322-353
Published electronically: September 15, 2017

Part I: Represent. Theory 21 (2017), 277-321.


We consider a fixed block for the equivariant perverse sheaves with nilpotent support on the 1-graded component of a semisimple cyclically graded Lie algebra. We give a combinatorial parametrization of the simple objects in that block.
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Bibliographic Information
  • George Lusztig
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 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 15, 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), 322-353
  • MSC (2010): Primary 20G99
  • DOI:
  • MathSciNet review: 3698042