Complex representations of GL(2,K) for finite fields K /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Piatetski-Shapiro, I. I. (Ilya Iosifovich), 1929-2009
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©1983.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 16.
Temas:
Linear algebraic groups.
Representations of groups.
Finite fields (Algebra)
Groupes linéaires algébriques.
Représentations de groupes.
Corps finis.
Linear algebraic groups
Representations of groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Chapter 1. Preliminaries: Representation Theory
  • the general linear group
  • 1. Linear representations of finite groups
  • 2. Induced representations
  • 3. The Schur algebra
  • 4. The group GL(2,K)
  • 5. The conjugacy classes of GL(2,K)
  • Chapter 2. The representations of GL(2,K)
  • 6. The representations of P
  • 7. The representations of B
  • 8. Inducing characters from B to G
  • 9. The Schur algebra of IndGBo
  • 10. The dimension of cuspidal representations
  • 11. The description of GL(2,K) by generators and relations
  • 12. Non-decomposable characters of Lx.

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