Representations of finite groups of Lie type /

This book 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, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis-Alvis duality map and Mackey's theorem and t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Digne, François
Otros Autores: Michel, Jean
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 1991.
Colección:London Mathematical Society student texts ; 21.
Temas:
Representations of Lie groups.
Finite groups.
Représentations des groupes de Lie.
Groupes finis.
MATHEMATICS > Algebra > Linear.
Darstellung > Mathematik
Endliche Gruppe
Lie-Typ-Gruppe
Darstellungstheorie
Representatie (algemeen)
Lie-groepen.
Représentations de groupes de Lie.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Bruhat decomposition parabolic subgroups
  • 2. Intersections of parabolic subgroups
  • 3. Rationality, Frobenius endomorphism
  • 4. Harish-Chandra induction and restriction
  • 5. The Mackey formula
  • 6. Harish-Chandra's theory
  • 7. Further results on Harish Chandra induction
  • 8. The duality factor
  • 9. The Steinberg character
  • 10. l-adic cohomology
  • 11. Deligne-Lusztig induction : the Mackey formula
  • 12. The character formula and other results
  • 13. Geometric conjugacy and Lusztig series
  • 14. Regular elements : Gelfand-Graev representations
  • 15. Examples.

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