Endoscopic Classification of Representations of Quasi-Split Unitary Groups
Seiten
2015
American Mathematical Society (Verlag)
978-1-4704-1041-4 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-1041-4 (ISBN)
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Establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups.
In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
Chung Pang Mok, Morningside Center of Mathematics, Beijing, China, and Purdue University, Bloomington, IN, USA.
Introduction
Statement of the main theorems
Local character identities and the intertwining relation
Trace formulas and their stabilization
The Standard model
Study of critical cases
Local classification
Nontempered representations
Global classification
Addendum
Bibliography
Reihe/Serie | Memoirs of the American Mathematical Society |
---|---|
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 377 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-1041-9 / 1470410419 |
ISBN-13 | 978-1-4704-1041-4 / 9781470410414 |
Zustand | Neuware |
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Buch | Softcover (2015)
Springer Vieweg (Verlag)
37,99 €