$\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, I
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- by George Lusztig and Zhiwei Yun
- Represent. Theory 21 (2017), 277-321
- DOI: https://doi.org/10.1090/ert/500
- Published electronically: September 14, 2017
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Part II: Represent. Theory 21 (2017), 322-353.
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.References
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Bibliographic 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. - © Copyright 2017 American Mathematical Society
- Journal: Represent. Theory 21 (2017), 277-321
- MSC (2010): Primary 20G99
- DOI: https://doi.org/10.1090/ert/500
- MathSciNet review: 3697026