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2017 / September Volume 12 No.3
Non-Unipotent Representations and Categorical Centers
Published Date
2017 / September
Title
Non-Unipotent Representations and Categorical Centers
Author
George Lusztig
Keyword
reductive group, flag manifold, irreducible representation, categorical centre., reductive group, flag manifold, irreducible representation, categorical centre.
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Pagination
205-296
Abstract
Let $G$ be a connected reductive group defined over a finite field $F_q$. We give a parametrization of the irreducible representations of $G(F_q)$ 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.
DOI
10.21915/BIMAS.2017301
https://doi.org/10.21915/BIMAS.2017301
AMS Subject
Classification
20G99
Received
2017-07-12
Accepted
2017-07-12
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