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Table of contents (7 chapters)
Keywords
Reviews
"The book under review collects and regroups results on the representation theory of the Jacobi group of lowest degree mostly due to R.Berndt and his coworkers J.Homrighausen and R.Schmidt. The book is very well written and gives an up to date collection of the results known. It will be quite useful for everyone working in the field. The first chapter introduces the Jacobi group ~GJ, a semi-direct product of SL(2) with a Heisenberg group, and describes different possible coordinates on the group, the Haar measure, the Lie algebra, as well as, over the reals, a (generalized) Iwasawa decomposition and the associated homogeneous space..."
---Zentralblatt Math
"This book is an exposition which incorporates results of the authors' research works [that] will be very helpful for those who have some knowledge of the Jacquet-Langlands theory for GL2... Recommended for researchers interested in modular and automorphic forms."
---Mathematical Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Elements of the Representation Theory of the Jacobi Group
Authors: Rolf Berndt, Ralf Schmidt
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-8772-4
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel AG 1998
Hardcover ISBN: 978-3-7643-5922-5Published: 19 May 1998
Softcover ISBN: 978-3-0348-9768-6Published: 23 August 2014
eBook ISBN: 978-3-0348-8772-4Published: 09 November 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIII, 216
Number of Illustrations: 2 b/w illustrations