Buch, Englisch, Band 1918, 312 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 493 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1918, 312 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 493 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-73323-2
Verlag: Springer Berlin Heidelberg
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).
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Algebra Zahlentheorie
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Operations Research Graphentheorie
Weitere Infos & Material
A Summary.- Representation Theory.- Paramodular Vectors.- Zeta Integrals.- Non-supercuspidal Representations.- Hecke Operators.- Proofs of the Main Theorems.
