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• W2936939625 abstract "Let $G(q)$ be a finite group of Lie type over a field with $q$ elements, where $q$ is a prime power. The Green functions of $G(q)$, as defined by Deligne and Lusztig, are known in textit{almost} all cases by work of Beynon--Spaltenstein, Lusztig und Shoji. Open cases exist for groups of exceptional type ${^2!E}_6$, $E_7$, $E_8$ in small characteristics. We propose a general method for dealing with these cases, which procedes by a reduction to the case where $q$ is a prime and then uses computer algebra techniques. In this way, all open cases in type ${^2!E}_6$, $E_7$ are solved, as well as at least one particular open case in type $E_8$." @default.
• W2936939625 created "2019-04-25" @default.
• W2936939625 creator A5024460807 @default.
• W2936939625 date "2019-04-15" @default.
• W2936939625 modified "2023-09-27" @default.
• W2936939625 title "Computing Green functions in small characteristic" @default.
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