Local Newforms for GSp(4): 1918 (Lecture Notes in Mathematics) - Softcover

Roberts, Brooks

 
9783540733232: Local Newforms for GSp(4): 1918 (Lecture Notes in Mathematics)

Inhaltsangabe

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).

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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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Weitere beliebte Ausgaben desselben Titels

9783540840114: Local Newforms for GSp(4)

Vorgestellte Ausgabe

ISBN 10:  3540840117 ISBN 13:  9783540840114
Verlag: Springer, 2008
Softcover