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<図書>
Automorphic forms and Shimura varieties of PGSp(2)

責任表示 by Yuval Z. Flicker
データ種別 図書
出版情報 Singapore : World Scientific , c2005
本文言語 英語
大きさ xi, 324 p. ; 24cm
概要 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 infini...e 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.続きを見る

所蔵情報



理系図3F 数理独自 FLIC/10/1 2005
023212005005904

書誌詳細

一般注記 Includes bibliographical references(p. 311-319) and index
著者標目 *Flicker, Yuval Z. (Yuval Zvi), 1955-
書誌ID 1001287329
ISBN 9812564039
NCID BA73700095
巻冊次 ISBN:9812564039
登録日 2009.09.18
更新日 2009.11.02