Elements of the Representation Theory of the Jacobi Group is popular PDF and ePub book, written by Rolf Berndt in 2013-11-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Elements of the Representation Theory of the Jacobi Group can be Read Online from any device for your convenience.
Elements of the Representation Theory of the Jacobi Group Book PDF Summary
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.
Detail Book of Elements of the Representation Theory of the Jacobi Group PDF
- Author : Rolf Berndt
- Release : 09 November 2013
- Publisher : Birkhäuser
- ISBN : 9783034887724
- Genre : Mathematics
- Total Page : 226 pages
- Language : English
- PDF File Size : 11,9 Mb
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