Non-Unipotent Representations and Categorical Centers
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1611.08296.pdf
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618.58 KB
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Author(s)
Lusztig, George
Date Issued
March 2017
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
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
Subjects
Reductive group, flag manifold, irred ucible representation, categorical centre
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.21915/BIMAS.2017301