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Representation Theory

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$ \mathbf{Z}/m$-graded Lie algebras and perverse sheaves, I


Authors: George Lusztig and Zhiwei Yun
Journal: Represent. Theory 21 (2017), 277-321
MSC (2010): Primary 20G99
DOI: https://doi.org/10.1090/ert/500
Published electronically: September 14, 2017
Part II: Represent. Theory 21 (2017), 322-353.
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Abstract: 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
Email: gyuri@math.mit.edu

Zhiwei Yun
Affiliation: Department of Mathematics, Yale University, New Haven, Connecticut 06511
Email: zhiweiyun@gmail.com

DOI: https://doi.org/10.1090/ert/500
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.
Article copyright: © Copyright 2017 American Mathematical Society