Unipotent representations as a categorical centre
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Lusztig_Unipotent representations.pdf
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294.11 KB
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Adobe PDF
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Author(s)
Lusztig, George
Date Issued
October 2015
Journal
Representation Theory
Publisher
American Mathematical Society (AMS)
Citation
Lusztig, G. “Unipotent Representations as a Categorical Centre.” Representation Theory of the American Mathematical Society 19.9 (2015): 211–235. © 2015 American Mathematical Society
Version
Final published version
Abstract
Let G(F[subscript q]) be the group of rational points of a split connected reductive group G over the finite field F[subscript q]. In this paper we show that the category of representations of G(F[subscript 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 flag manifold of G x G. We also consider a version of this for nonsplit groups.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/ert/468
