G. Lusztig
Published 2014-01-13, updated 2014-02-17Version 2
Let G(F_q) be the group of rational points of a split connected reductive group G defined over the finite field F_q. In this paper we show that the category of representations of G(F_q) which are finite direct sums of unipotent representations in a fixed two-sided cell is equivalent to the centre of a certain monoidal category of sheaves on the product of two copies of the flag manifold of G. We also consider a version of this for nonsplit groups.
Comments: 26 pages. This version considers also nonsplit groups. arXiv admin note: text overlap with arXiv:1308.1082
The Grothendieck group of unipotent representations: a new basis
The quantum group $\dot U$ and flag manifolds over the semifield Z
Finite direct sums of cyclic embeddings
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