Local Newforms for GSp(4)
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).
Keywords
MathematicsAlgebraGroup TheoryNumber TheoryProbability & StatisticsStochastic ProcessesFunctional AnalysisTopology
2007Book
Author(s)Brooks Keiluweit Roberts
PublisherSpringer Science & Business Media
ISBN9783540733232
LanguageEnglish
