Finite Groups of Lie Type: Conjugacy Classes and Complex Characters
Roger W. Carter
Abstract
Roger W. Carter
Abstract
BN-Pairs and Coxeter Groups. Maximal Tori and Semisimple Classes. Geometric Conjugacy and Duality. Unipotent Classes. The Steinberg Character. The Generalized Characters of Deligne-Lusztig. Further Families of Irreducible Characters. Cuspidal Representations. The Decomposition of Induced Cuspidal Characters. Representations of Finite Coxeter Groups. Unipotent Characters. Explicit Results on Simple Groups. Appendix. Bibliography. Indexes.
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BN-Pairs and Coxeter Groups. Maximal Tori and Semisimple Classes. Geometric Conjugacy and Duality. Unipotent Classes. The Steinberg Character. The Generalized Characters of Deligne-Lusztig. Further Families of Irreducible Characters. Cuspidal Representations. The Decomposition of Induced Cuspidal Characters. Representations of Finite Coxeter Groups. Unipotent Characters. Explicit Results on Simple Groups. Appendix. Bibliography. Indexes.
Key concepts: Unipotent, Coxeter group, Mathematics, Conjugacy class, Pure mathematics, Maximal torus, Character (mathematics), Coxeter element