The purpose of this chapter is to assemble results valid in all unequal characteristics. We determine, for example, the decomposition into \(\mathscr{O}\) -blocks as well as the Brauer correspondents. We also introduce modular (that is over \(\mathscr{O}\) , or even over ℤℓ) and structural versions of Harish-Chandra and Deligne-Lusztig induction.

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Generalities

  • Cédric Bonnafé

摘要

The purpose of this chapter is to assemble results valid in all unequal characteristics. We determine, for example, the decomposition into \(\mathscr{O}\) -blocks as well as the Brauer correspondents. We also introduce modular (that is over \(\mathscr{O}\) , or even over ℤℓ) and structural versions of Harish-Chandra and Deligne-Lusztig induction.