A parametrization of unipotent representations
by George Lusztig  

Vol. 17 No. 3 (2022) P.249~P.307

DOI:	https://doi.org/10.21915/BIMAS.2022301
	10.21915/BIMAS.2022301

ABSTRACT

We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cell representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.

KEYWORDS
Unipotent representation, nonabelian Fourier transform, cuspidal

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20G99

MILESTONES

Received: 2022-01-23
Revised :
Accepted:

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