This chapter gives a very succinct overview of Deligne-Lusztig theory. We will recall some of the principal results of the theory (including the parametrisation of characters and partition into blocks) with the goal of connecting this general theory with what we have seen for SL2(Fq). This chapter requires some knowledge of algebraic groups, for which we refer the reader to [Bor] or [DiMi].

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Deligne-Lusztig Theory: an Overview*

  • Cédric Bonnafé

摘要

This chapter gives a very succinct overview of Deligne-Lusztig theory. We will recall some of the principal results of the theory (including the parametrisation of characters and partition into blocks) with the goal of connecting this general theory with what we have seen for SL2(Fq). This chapter requires some knowledge of algebraic groups, for which we refer the reader to [Bor] or [DiMi].