Local Newforms for GSp(4)

Roberts, Brooks

ISBN 10: 354073323X / ISBN 13: 9783540733232

Verlag: Springer 2007-08, 2007

Beschreibung

Bestandsnummer des Verkäufers 6666-IUK-9783540733232

Bibliografische Details

• Titel: Local Newforms for GSp(4)
• Verlag: Springer 2007-08
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 354073323X
• ISBN-13: 9783540733232
• Einband: PF
• Zustand: New

Über diesen Titel

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).

Von der hinteren Coverseite

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).