Smooth-automorphic Forms And Smooth-automorphic Representations

di Harald Grobner (Autore)

World Scientific Publishing Co Pte Ltd, 2023

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.

• Autore: Harald Grobner
• Editore: World Scientific Publishing Co Pte Ltd
• Collana: Series on Number Theory and Its Applications
• Anno: 2023
• Rilegatura: Hardback
• Pagine: 264 p.
• EAN: 9789811246166

Testo in English