Smooth-automorphic Forms And Smooth-automorphic Representations - Couverture rigide

Grobner, Harald

Couverture rigide

ISBN 10 : 9811246165 ISBN 13 : 9789811246166

Editeur : WSPC, 2023

Synopsis

This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F. Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of "smooth-automorphic forms" is intrinsic to the group scheme G/F. This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G. Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.

Détails de l'édition

• Éditeur: WSPC
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 9811246165
• ISBN 13: 9789811246166
• Reliure: Relié
• Nombre de pages: 264
• Coordonnées du fabricant: non disponible
• Personne responsable: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne