search for books and compare prices
Rolf Berndt has written 5 work(s)
Search for other authors with the same name
displaying 1 to 5 |
at end
show results in order: alphabetically | oldest to newest | newest to oldest
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.
Hardcover:
9783764359225 | Birkhauser, May 1, 1998, cover price $139.00 | About this edition: The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group.
Paperback:
9783034897686 | Birkhauser, August 23, 2014, cover price $99.00
9783034802826 | Reprint edition (Birkhauser, January 2, 2012), cover price $89.99 | About this edition: Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case.
Product Description: This is an elementary introduction to the representation theory of real and complex matrix groups. The text is written for students in mathematics and physics who have a good knowledge of differential/integral calculus and linear algebra and are familiar with basic facts from algebra, number theory and complex analysis...read more
Paperback:
9783834803191 | Springer Verlag, July 26, 2007, cover price $69.99 | About this edition: This is an elementary introduction to the representation theory of real and complex matrix groups.
Product Description: Für die meisten Mathematiker und für viele mathematische Physiker ist der Name Erich Kähler eng verbunden mit wichtigen Begriffen der Geometrie wie zum Beispiel Kähler-Metrik, Kähler-Mannigfaltigkeiten und Kähler-Gruppen. Diese Begriffe gehen alle auf ein 14-seitiges Papier aus dem Jahr 1932 zurück...read more
Hardcover:
9783110171181 | Bilingual edition (Walter De Gruyter Inc, February 1, 2004), cover price $391.00 | About this edition: Für die meisten Mathematiker und für viele mathematische Physiker ist der Name Erich Kähler eng verbunden mit wichtigen Begriffen der Geometrie wie zum Beispiel Kähler-Metrik, Kähler-Mannigfaltigkeiten und Kähler-Gruppen.
(view table of contents)
Hardcover:
9780821820568 | Amer Mathematical Society, December 1, 2000, cover price $45.00
Paperback:
9783528031022 | Springer Verlag, March 27, 1998, cover price $59.95
displaying 1 to 5 |
at end