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Automorphic Forms and Shimura Varieties of Pgsp(2)
Contributor(s): Flicker, Yuval Z. (Author)

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 ISBN: 9812564039     ISBN-13: 9789812564030
Publisher: World Scientific Publishing Company
OUR PRICE: $128.25  

Binding Type: Hardcover
Published: August 2005
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Annotation: 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
Additional Information
BISAC Categories:
- Mathematics | Number Theory
- Mathematics | Algebra - General
Dewey: 515.9
Physical Information: 0.9" H x 6.94" W x 9.2" L (1.37 lbs) 340 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
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Publisher Description:
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,
 
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