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,...

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Detalles Bibliográficos
Autores principales: Roberts, Brooks, Schmidt, Ralf
Lenguaje:eng
Publicado: Springer 2007
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-73324-9
http://cds.cern.ch/record/1691708
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author Roberts, Brooks
Schmidt, Ralf
author_facet Roberts, Brooks
Schmidt, Ralf
author_sort Roberts, Brooks
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
publisher Springer
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spelling cern-16917082021-04-21T21:07:43Zdoi:10.1007/978-3-540-73324-9http://cds.cern.ch/record/1691708engRoberts, BrooksSchmidt, RalfLocal newforms for GSp(4)Mathematical Physics and MathematicsLocal 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).Springeroai:cds.cern.ch:16917082007
spellingShingle Mathematical Physics and Mathematics
Roberts, Brooks
Schmidt, Ralf
Local newforms for GSp(4)
title Local newforms for GSp(4)
title_full Local newforms for GSp(4)
title_fullStr Local newforms for GSp(4)
title_full_unstemmed Local newforms for GSp(4)
title_short Local newforms for GSp(4)
title_sort local newforms for gsp(4)
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-540-73324-9
http://cds.cern.ch/record/1691708
work_keys_str_mv AT robertsbrooks localnewformsforgsp4
AT schmidtralf localnewformsforgsp4

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