Representations of SL2(Fq)

Part I: Preliminaries.- 1 Structure of SL2(Fq).- 2 The Geometry of the Drinfeld Curve.- Part II: Ordinary Characters.- 3 Harish-Chandra Induction.- 4 Deligne-Lusztig Induction.- 5 The Character Table.- 6 McKay Conjecture.- Part III: Modular Representations: Unequal Characteristic.- 7 Generalities.- 8 Equivalences of Categories.- 9 Simple Modules, Decomposition Matrices.- Part IV: Modular representations: equal characteristic.- 10 Simple Modules, Decomposition Matrix, Blocks.- 11 Canonical Representation Associated with Y.- Part V: Complements.- 12 Special Cases.- 13 Deligne-Lusztig Theory: an Overview*.- Part VI: Appendices.- A ?-Adic Cohomology.- B Block Theory.- C Review of Reflection Groups.

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• Geometria algébrica
• Grupos e teoria do grupo
• Álgebra

Deligne-Lusztig theory;Morita equivalences;SL(2, q);characters;derived equivalences;modular representations;finite reductive groups