Elements of the Representation Theory of the Jacobi Group

Buch | Hardcover
1998
Springer Basel (Verlag)
978-3-7643-5922-5 (ISBN)

Lese- und Medienproben

Elements of the Representation Theory of the Jacobi Group - Rolf Berndt, Ralf Schmidt
96,25 inkl. MwSt
The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group. It is an important example for a non-reductive group and sets the frame within which to treat theta functions as well as elliptic functions - in particular, the universal elliptic curve. This text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and in the global number field case. Via a bridge to Waldspurger's theory for the metaplectic group, complete classification theorems for irreducible representations are obtained. Further topics include differential operators, Whittaker models, Hecke operators, spherical representations and theta functions. The global theory is aimed at the correspondence between automorphic representations and Jacobi forms. This volume is thus a complement to the seminal book on Jacobi forms by M. Eichler and D. Zagier. Incorporating results of the authors' original research, this exposition is meant for researchers and graduate students interested in algebraic groups and number theory, in particular, modular and automorphic forms.

Prof. Dr. Rolf Berndt ist am Mathematischen Seminar der Universität Hamburg tätig.

Reihe/Serie Progress in Mathematics
Sprache englisch
Maße 155 x 235 mm
Gewicht 520 g
Einbandart gebunden
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Schlagworte Algebraic Geometry • group theory • Gruppe (Math.) • Hardcover, Softcover / Mathematik/Allgemeines, Lexika • HC/Mathematik/Allgemeines, Lexika • Number Theory
ISBN-10 3-7643-5922-6 / 3764359226
ISBN-13 978-3-7643-5922-5 / 9783764359225
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
ein Übungsbuch für Fachhochschulen

von Michael Knorrenschild

Buch | Hardcover (2023)
Carl Hanser (Verlag)
16,99