Rolf Berndt, Ralf Schmidt

Elements of the Representation Theory of the Jacobi Group (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 216
• Erscheinungstermin: 9. November 2013
• Englisch
• ISBN-13: 9783034887724
• Artikelnr.: 53172916

Autorenporträt

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

Inhaltsangabe

Introduction.- 1 The Jacobi Group.- 2 Basic Representation Theory of the Jacobi Group.- 3 Local Representations: The Real Case.- 4 The Space and its Decomposition.- 5 Local Representations: The p-adic Case.- 6 Spherical Representations.- 7 Global Considerations.- Bibliography.- Index of Notations.- Index.

Rezensionen

"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