$\mathbf {Z}/m$-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.
MathSciNet review:
3697026
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Abstract | References | Similar Articles | Additional Information
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
MR Author ID:
117100
Email:
gyuri@math.mit.edu
Zhiwei Yun
Affiliation:
Department of Mathematics, Yale University, New Haven, Connecticut 06511
MR Author ID:
862829
Email:
zhiweiyun@gmail.com
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
