Local Newforms for GSp(4)

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,...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Roberts, Brooks (Συγγραφέας), Schmidt, Ralf (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
Σειρά:Lecture Notes in Mathematics, 1918
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Roberts, Brooks.  |e author. 
245 1 0 |a Local Newforms for GSp(4)  |h [electronic resource] /  |c by Brooks Roberts, Ralf Schmidt. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2007. 
300 |a VIII, 312 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1918 
505 0 |a A Summary -- Representation Theory -- Paramodular Vectors -- Zeta Integrals -- Non-supercuspidal Representations -- Hecke Operators -- Proofs of the Main Theorems. 
520 |a 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). 
650 0 |a Mathematics. 
650 0 |a Algebra. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 0 |a Number theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Number Theory. 
650 2 4 |a Algebra. 
650 2 4 |a Topological Groups, Lie Groups. 
700 1 |a Schmidt, Ralf.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540733232 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1918 
856 4 0 |u http://dx.doi.org/10.1007/978-3-540-73324-9  |z Full Text via HEAL-Link 
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