Local Newforms for GSp(4)

Brooks Roberts

ISBN 10: 354073323X / ISBN 13: 9783540733232

Published by Springer, Springer Vieweg, 2007

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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).

Seller Inventory # 9783540733232

Bibliographic Details

• Title: Local Newforms for GSp(4)
• Publisher: Springer, Springer Vieweg
• Publication Date: 2007
• Language: English
• ISBN 10: 354073323X
• ISBN 13: 9783540733232
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 18D millimeters 235 millimeters width by 155 millimeters height by 18 millimeters depth
• Weight: 493 grams

About this title

Synopsis

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).