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

Roberts, Brooks; Schmidt, Ralf

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

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).

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From the Back Cover

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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9783540840114: Local Newforms for GSp(4)

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