Invariant Representations of Gsp2 Under Tensor Product With a Quadratic Character - Couverture souple

Chan, Ping-shun

Couverture souple

ISBN 10 : 0821848224 ISBN 13 : 9780821848227

Editeur : American Mathematical Society, 2010

Synopsis

Let $F$ be a number field or a $p$-adic field. The author introduces in Chapter 2 of this work two reductive rank one $F$-groups, $\mathbf{H_1}$, $\mathbf{H_2}$, which are twisted endoscopic groups of $\textup{GSp}(2)$ with respect to a fixed quadratic character $\varepsilon$ of the idele class group of $F$ if $F$ is global, $F^\times$ if $F$ is local. When $F$ is global, Langlands functoriality predicts that there exists a canonical lifting of the automorphic representations of $\mathbf{H_1}$, $\mathbf{H_2}$ to those of $\textup{GSp}(2)$. In Chapter 4, the author establishes this lifting in terms of the Satake parameters which parameterize the automorphic representations. By means of this lifting he provides a classification of the discrete spectrum automorphic representations of $\textup{GSp}(2)$ which are invariant under tensor product with $\varepsilon$. Table of Contents: Introduction; $\varepsilon$-endoscopy for $\textup{GSp}(2)$; The trace formula; Global lifting; The local picture; Appendix A. Summary of global lifting; Appendix B. Fundamental lemma; Bibliography; List of symbols; Index. (MEMO/204/957)

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0821848224
• ISBN 13: 9780821848227
• Reliure: Broché
• Nombre de pages: 172
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible