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13 - Green Functions

Published online by Cambridge University Press:  14 February 2020

François Digne
Affiliation:
Université de Picardie Jules Verne, Amiens
Jean Michel
Affiliation:
Centre National de la Recherche Scientifique (CNRS), Paris
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Summary

We review invariants of reflection groups and reflection cosets up to giving a formula for the order of a finite reductive group. We then review the Springer correspondence between local systems on unipotent classes and characters of the Weyl group, and use it to describe the Lusztig–Shoji algorithm to compute Green functions.

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Publisher: Cambridge University Press
Print publication year: 2020

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  • Green Functions
  • François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Representations of Finite Groups of Lie Type
  • Online publication: 14 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108673655.015
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  • Green Functions
  • François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Representations of Finite Groups of Lie Type
  • Online publication: 14 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108673655.015
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Green Functions
  • François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris
  • Book: Representations of Finite Groups of Lie Type
  • Online publication: 14 February 2020
  • Chapter DOI: https://doi.org/10.1017/9781108673655.015
Available formats
×