Details

Subject(s)

• Representations of groups [Browse]
• Automorphic forms [Browse]
• Hecke operators [Browse]

Author

• Schmidt, Ralf, 1968- [Browse]

Series

Lecture notes in mathematics (Springer-Verlag) ; 1918. [More in this series]

Subseries of

Lecture Notes in Mathematics

Summary note

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).

Notes

Description based upon print version of record.

Bibliographic references

Includes bibliographical references and index.

Source of description

Description based on print version record.

Language note

English

Contents

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

Show 4 more Contents items

ISBN

• 1-280-96017-5
• 9786610960170
• 3-540-73324-8

OCLC

184906575

Doi

• 10.1007/978-3-540-73324-9

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