Smooth-automorphic Forms And Smooth-automorphic Representations

Harald Grobner (Autor)

Buch | Hardcover

264 Seiten

2023
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-4616-6 (ISBN)

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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