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Finite Groups of Lie Type: Conjugacy Classes and Complex Characters
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The Steinberg Character as discussed by the authors is a character of Deligne-Lusztig, which is a generalization of the Steinberg character of Cuspidal Representations.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.read more
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Representations of finite groups of Lie type
François Digne,Jean Michel +1 more
TL;DR: In this paper, the authors provided the first elementary treatment of representation theory of finite groups of Lie type in book form, including new material to reflect the continuous evolution of the subject, including entirely new chapters on Hecke algebras, Green functions and Lusztig families.
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CHEVIE — A system for computing and processing generic character tables
TL;DR: The CHEVIE package as mentioned in this paper is a computer algebra package which collects data and programs for the representation theory of finite groups of Lie type and associated structures, including Weyl groups and Iwahori-Hecke algebras.
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6d Conformal matter
TL;DR: In this article, the Coulomb/tensor branch of (G, G′) conformal matter has been shown to be a (1, 0) superconformal system in six dimensions.
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Special transverse slices and their enveloping algebras
TL;DR: In this article, Moeglin and Premet showed that the algebra ImageH" height="14" width="14">χ,η has a natural filtration such that the associated graded algebra, the associated algebra, is isomorphic to Image[S0], which yields natural noncommutative deformations of all singularities associated with the adjoint quotient map of Image.