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Representations of Finite Groups of Lie Type Book

Representations of Finite Groups of Lie Type
Representations of Finite Groups of Lie Type, This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it., Representations of Finite Groups of Lie Type has a rating of 3 stars
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Representations of Finite Groups of Lie Type, This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it., Representations of Finite Groups of Lie Type
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  • Representations of Finite Groups of Lie Type
  • Written by author Frangois Digne
  • Published by Cambridge University Press, April 1991
  • This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it.
  • In this book, which is based on a graduate course taught at the University of Paris, the authors aim to treat the basic theory of representations of finite groups of Lie type.
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Background results;
1. Bruhat decomposition;
2. Reduced subgroups of maximal rank, centralisers and semisimple elements;
3. Rationality, Frobenius maps, Lang's theorem;
4. Generalized induction associated with a bimodule;
5. Mackey's theorem;
6. Harish-Chandra theory; Complements on RGL;
7. Duality of characters;
8. Steinberg characters; l-adic cohomology;
9. Deligne-Lusztig induction;
10. Character formulae and their complements in Deligne-Lusztig induction;
11. Geometric conjugation, Lusztig series.


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Representations of Finite Groups of Lie Type, This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it., Representations of Finite Groups of Lie Type

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Representations of Finite Groups of Lie Type, This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it., Representations of Finite Groups of Lie Type

Representations of Finite Groups of Lie Type

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Representations of Finite Groups of Lie Type, This treatment of the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups, emphasizes the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it., Representations of Finite Groups of Lie Type

Representations of Finite Groups of Lie Type

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