Computing Green functions in small characteristic.

@inproceedings{Geck2019ComputingGF,
  title={Computing Green functions in small characteristic.},
  author={Meinolf Geck},
  year={2019}
}
  • Meinolf Geck
  • Published 2019
  • Mathematics
  • 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… CONTINUE READING

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