$\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, II
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- by George Lusztig and Zhiwei Yun
- Represent. Theory 21 (2017), 322-353
- DOI: https://doi.org/10.1090/ert/501
- Published electronically: September 15, 2017
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Part I: Represent. Theory 21 (2017), 277-321.
Abstract:
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.References
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- G. Lusztig and Z. Yun, $Z/m$-graded Lie algebras and perverse sheaves, I, Represent. Theory 21 (2017), no. 12, 277–321., DOI 10.1090/ert/500
Bibliographic Information
- George Lusztig
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 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 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: https://doi.org/10.1090/ert/501
- MathSciNet review: 3698042