Smooth-automorphic Forms And Smooth-automorphic Representations
Seiten
2023
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-4616-6 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-4616-6 (ISBN)
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.
| Erscheinungsdatum | 29.07.2023 |
|---|---|
| Reihe/Serie | Series on Number Theory and Its Applications ; 17 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 981-12-4616-5 / 9811246165 |
| ISBN-13 | 978-981-12-4616-6 / 9789811246166 |
| Zustand | Neuware |
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