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Unequal Characteristic: Generalities

  • Cédric BonnaféEmail author
Chapter
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Part of the Algebra and Applications book series (AA, volume 13)

Abstract

The purpose of this chapter is to assemble results valid in all unequal characteristics. We determine, for example, the decomposition into \(\mathcal{O}\)-blocks as well as the Brauer correspondents. We also introduce modular (that is over \(\mathcal{O}\), or even over ℤ ) and structural versions of Harish-Chandra and Deligne-Lusztig induction. These are functors between categories, rather than being simply maps between Grothendieck groups. The preliminary work on these two functors will be useful in the next chapter, where we study the equivalences of categories which they induce (which turn out to be either Morita or derived equivalences).

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Institut de Mathématiques et de Modélisation de MontpellierCNRS (UMR 5149), Université Montpellier 2Montpellier CedexFrance

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