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Truncated convolution of character sheaves

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Author(s)
Lusztig, George
Date Issued
2015
Journal
Bulletin of the Institute of Mathematics, Academia sinica
Citation
Lusztig, G., "Truncated convolution of character sheaves." Bulletin of the Institute of Mathematics, Academia sinica 10, 1 (2015): p. 1-57 url https://web.math.sinica.edu.tw/bulletin_ns/20151/2015101.pdf ©2015 Author(s)
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Original manuscript
Abstract
Let G be a reductive, connected algebraic group over an algebraic closure of a finite field. We define a tensor structure on the category of perverse sheaves on G which are direct sums of unipotent character sheaves in a fixed two-sided cell; we show that this is equivalent to the centre with a known monoidal abelian category (a categorification of the J-ring associated to the same two-sided cell). ©2015
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/124900
DOI of Published Version
https://web.math.sinica.edu.tw/bulletin_ns/20151/2015101.pdf
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