Characters of reductive groups over a finite field /

This book presents a classification of all (complex) irreducible representations of a reductive group with connected center, over a finite field. To achieve this, the author uses étale intersection cohomology, and detailed information on representations of Weyl groups.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lusztig, George, 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, [1984]
Colección:Annals of mathematics studies ; no. 107.
Temas:
Finite groups.
Finite fields (Algebra)
Characters of groups.
Groupes finis.
Corps finis.
Caractères de groupes.
MATHEMATICS > Group Theory.
Charakter > Gruppentheorie
Galois-Feld
Reduktive Gruppe
Eindige groepen.
Eindige lichamen.
Characters.
Teoria Dos Grupos.
Champs modulaires.
Instructional and educational works.
Matériel d'éducation et de formation.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Computation of local intersection cohomology of certain line bundles over a Schubert variety
  • Local intersection cohomology with twisted coefficients of the closures of the varieties X[lowercase subscript]w
  • Global intersection cohomology with twisted coefficients of the variety X[lowercase subscript]w
  • Representations of Weyl groups
  • Cells in Weyl groups
  • An integrality theorem and a disjointness theorem
  • Some exceptional groups
  • Decomposition of induced representations
  • Classical groups
  • Completion of the proof of theorem 4.23
  • Eigenvalues of Frobenius
  • On the structures of left cells
  • Relations with conjugacy classes
  • Concluding remarks
  • Appendix. Tables of unipotent representations.

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