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Smooth-automorphic Forms And Smooth-automorphic Representations: 17 (Series On Number Theory And Its Applications) - Tapa dura

Grobner, Harald

 
9789811246166: Smooth-automorphic Forms And Smooth-automorphic Representations: 17 (Series On Number Theory And Its Applications)
Tapa dura
ISBN 10: 9811246165 ISBN 13: 9789811246166
Editorial: WSPC, 2023

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Editorial
WSPC
Año de publicación
2023
Idioma
Inglés
ISBN 10 
9811246165
ISBN 13 
9789811246166
Encuadernación
Tapa dura
Número de páginas
264
Contacto del fabricante
no disponible
Persona responsable
GPSR Kontakt
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