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130626 ||| eng |
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|a 9783540733249
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|a Roberts, Brooks
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|a Local Newforms for GSp(4)
|h Elektronische Ressource
|c by Brooks Roberts, Ralf Schmidt
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|a 1st ed. 2007
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2007, 2007
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| 300 |
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|a VIII, 312 p
|b online resource
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|a A Summary -- Representation Theory -- Paramodular Vectors -- Zeta Integrals -- Non-supercuspidal Representations -- Hecke Operators -- Proofs of the Main Theorems
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| 653 |
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|a Number theory
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| 653 |
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|a Number Theory
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| 653 |
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|a Topological Groups and Lie Groups
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| 653 |
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|a Lie groups
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| 653 |
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|a Topological groups
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| 653 |
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|a Algebra
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| 700 |
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|a Schmidt, Ralf
|e [author]
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|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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|a Lecture Notes in Mathematics
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|a 10.1007/978-3-540-73324-9
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| 856 |
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|u https://doi.org/10.1007/978-3-540-73324-9?nosfx=y
|x Verlag
|3 Volltext
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|a 512.7
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| 520 |
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|a 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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