Local newforms for GSp(4)
Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors,...
| Other Authors: | , |
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| Format: | eBook |
| Language: | Inglés |
| Published: |
Berlin ; Heidelberg ; New York :
Springer
[2007]
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| Edition: | 1st ed. 2007. |
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1918. |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461925106719 |
| Summary: | Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4). |
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| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (310 p.) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781280960178 9786610960170 9783540733249 |
