Smooth-automorphic Forms And Smooth-automorphic Representations (Series On Number Theory And Its Applications, Band 17) - Hardcover

Grobner, Harald

Hardcover

ISBN 10: 9811246165 ISBN 13: 9789811246166

Verlag: WSPC, 2023

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: WSPC
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 9811246165
• ISBN 13: 9789811246166
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 264
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland