Archives

Non-Unipotent Representations and Categorical Centers
by George Lusztig

Vol. 12 No. 3 (2017) P.205~P.296
 DOI: https://doi.org/10.21915/BIMAS.2017301 10.21915/BIMAS.2017301

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.

KEYWORDS
reductive group, flag manifold, irreducible representation, categorical centre.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES