Automorphic Forms and Shimura Varieties of...

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Sprache: Englisch

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Beschreibung

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called ?liftings.? This in-depth book concentrates on an initial example of the lifting, from a rank 2 symplectic group PGSp(2) to PGL(4), reflecting the natural embedding of Sp(2, C) in SL(4, C). It develops the technique of comparing twisted and stabilized trace formulae. It gives a detailed classification of the automorphic and admissible representation of the rank two symplectic PGSp(2) by means of a definition of packets and quasi-packets, using character relations and trace formulae identities. It also shows multiplicity one and rigidity theorems for the discrete spectrum. Applications include the study of the d

Details

Erscheinungsjahr:	2005
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9789812564030
ISBN-10:	9812564039
Sprache:	Englisch
Einband:	Gebunden
Autor:	Flicker, Yuval Z
Hersteller:	World Scientific Publishing Company
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 176 x 23 mm
Von/Mit:	Yuval Z Flicker
Erscheinungsdatum:	16.08.2005
Gewicht:	0,621 kg