Modular representations of finite groups of Lie type /

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Humphreys, James E.
Autor Corporativo: London Mathematical Society
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2006.
Colección:London Mathematical Society lecture note series ; 326.
Temas:
Modular representations of groups.
Representations of Lie groups.
Finite simple groups.
Représentations modulaires de groupes.
Représentations des groupes de Lie.
Groupes simples finis.
MATHEMATICS > Group Theory.
Finite simple groups
Modular representations of groups
Representations of Lie groups
Eindige groepen.
Lie-groepen.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Finite groups of Lie type
  • 2. Simple modules
  • 3. Weyl modules and Lusztig's conjecture
  • 4. Computation of weight multiplicities
  • 5. Other aspects of simple modules
  • 6. Tensor products
  • 7. BN-pairs and induced modules
  • 8. Blocks
  • 9. Projective modules
  • 10. Comparison with Frobenius kernels
  • 11. Cartan invariants
  • 12. Extensions of simple modules
  • 13. Loewy series
  • 14. Cohomology
  • 15. Complexity and support varieties
  • 16. Ordinary and modular representations
  • 17. Deligne-Lusztig characters
  • 18. groups G[subscript 2](q)
  • 19. General and special linear groups
  • 20. Suzuki and Ree groups.

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