Non-Unipotent Representations and Categorical Centers
Vol. 12 No. 3 (2017) P.205~P.296
DOI: || https://doi.org/10.21915/BIMAS.2017301 |
| ||10.21915/BIMAS.2017301 |
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.
reductive group, flag manifold, irreducible representation, categorical centre.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Download Full Content
Revised : 2017-07-12