Smooth Automorphic Forms And Smooth Automorphic Representations

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Smooth-automorphic Forms And Smooth-automorphic Representations

Smooth-automorphic Forms And Smooth-automorphic Representations
Author :
Publisher : World Scientific
Total Pages : 262
Release :
ISBN-10 : 9789811246180
ISBN-13 : 9811246181
Rating : 4/5 (181 Downloads)

Book Synopsis Smooth-automorphic Forms And Smooth-automorphic Representations by : Harald Grobner

Download or read book Smooth-automorphic Forms And Smooth-automorphic Representations written by Harald Grobner and published by World Scientific. This book was released on 2023-06-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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