2015 / March Volume 10 No.1
Truncated convolution of character sheaves
| Published Date |
2015 / March
|
|---|---|
| Title | Truncated convolution of character sheaves |
| Author | |
| Keyword | |
| Download | |
| Pagination | 1-72 |
| Abstract | Let $\textit{G}$ 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 $\textit{G}$ 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 $\textit{J}$-ring associated to the same two-sided cell).
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| AMS Subject Classification |
20G99
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| Received |
2014-03-09
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| Accepted |
2014-03-09
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