Local newforms for GSp(4)

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Bibliographic Information

Local newforms for GSp(4)

Brooks Roberts, Ralf Schmidt

(Lecture notes in mathematics, 1918)

Springer, c2007

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Note

Includes bibliographical references (p. [301]-303) and index

Description and Table of Contents

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. An appendix includes extensive tables about the results and the representations theory of GSp(4).

Table of Contents

A Summary.- Representation Theory.- Paramodular Vectors.- Zeta Integrals.- Non-supercuspidal Representations.- Hecke Operators.- Proofs of the Main Theorems.

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