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By
Rolf Berndt and
Ralf Schmidt
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Bibliographic Detail
Publisher
Birkhauser
Publication date
May 1, 1998
Pages
213
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9783764359225
ISBN-10
3764359226
Dimensions
0.75 by 6.75 by 9.75 in.
Weight
1.20 lbs.
Original list price
$139.00
Summaries and Reviews
(view table of contents)
Amazon.com description: Product Description: 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.
Editions
Hardcover
The price comparison is for this edition
from Birkhauser (May 1, 1998)
9783764359225 | details & prices | 213 pages | 6.75 × 9.75 × 0.75 in. | 1.20 lbs | List price $139.00
About: The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group.
About: The Jacobi group is a semidirect product of a symplectic group with a Heisenberg group.
Paperback
from Birkhauser (August 23, 2014)
9783034897686 | details & prices | List price $99.00
Reprint edition from Birkhauser (January 2, 2012)
9783034802826 | details & prices | 213 pages | 5.75 × 8.75 × 0.50 in. | 0.70 lbs | List price $89.99
About: 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.
About: 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.
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