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Truncated convolution of character sheaves

Author(s)
Lusztig, George
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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
Date issued
2015
URI
https://hdl.handle.net/1721.1/124900
Department
Massachusetts Institute of Technology. Department of Mathematics
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)
Version: Original manuscript
ISSN
2304-7917

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