Local newforms for GSp(4)
著者
書誌事項
Local newforms for GSp(4)
（Lecture notes in mathematics, 1918）
Springer, c2007
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注記
Includes bibliographical references (p. [301]-303) and index
内容説明・目次
内容説明
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).
目次
A Summary.- Representation Theory.- Paramodular Vectors.- Zeta Integrals.- Non-supercuspidal Representations.- Hecke Operators.- Proofs of the Main Theorems.
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