Corpus ID: 119651536

Generalised Gelfand--Graev representations in bad characteristic?

@inproceedings{Geck2018GeneralisedGR,
  title={Generalised Gelfand--Graev representations in bad characteristic?},
  author={Meinolf Geck},
  year={2018}
}
  • Meinolf Geck
  • Published 2018
  • Mathematics
  • Let $G$ be a connected reductive algebraic group defined over a finite field with $q$ elements. In the 1980's, Kawanaka introduced generalised Gelfand-Graev representations of the finite group $G(F_q)$, assuming that $q$ is a power of a good prime for $G$. These representations have turned out to be extremely useful in various contexts. Here we investigate to what extent Kawanaka's construction can be carried out when we drop the assumptions on~$q$. As a curious by-product, we obtain a new… CONTINUE READING

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