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Título: Invariant Representations Of Gsp(2) Under Tensor Product With a Quadratic Charac | |
| Autor: Chan Ping-Shun | Precio: $972.96 | |
| Editorial: American Mathematical Society | Año: 2009 | |
| Tema: Matematicas, Textos, Teorias | Edición: 1ª | |
| Sinopsis | ISBN: 9780821848227 | |
| 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 idèle 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 |
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