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Non-unipotent Character Sheaves as a Categorical Centre
by George Lusztig

Vol. 11 No. 4 (2016) P.603~P.731
 DOI: https://doi.org/10.21915/BIMAS.2016401 10.21915/BIMAS.2016401

ABSTRACT

Let $G$ be a reductive connected group over an algebraic closure of finite field. In this paper we give the classification of character sheaves on $G$ in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and in the case where the ground field is replaced by the complex numbers.

KEYWORDS
reductive group, character sheaf, flag manifold, local system.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99.

MILESTONES