Non-Unipotent Representations and Categorical Centers

Author(s)
Lusztig, George
Thumbnail
Download1611.08296.pdf (618.5Kb)
OPEN_ACCESS_POLICY
Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
Let G be a connected reductive group defined over a finite field F[subscript q]. We give a parametrization of the irreducible representations of G(Fq) in terms of (twisted) categorical centres of various monoidal categories associated to G. Results of this type were known earlier for unipotent representations and also for character sheaves
Date issued
2017-03
URI
http://hdl.handle.net/1721.1/115947
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES
Publisher
Institute of Mathematics, Academia Sinica
Citation
Lusztig, George. “Non-Unipotent Representations and Categorical Centers.” Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES 12, no. 3 (September 1, 2017).
Version: Original manuscript
ISSN
2304-7909
Keywords
Reductive group, flag manifold, irred ucible representation, categorical centre
Collections