Elements of the representation theory of the Jacobi group /

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...

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Bibliographic Details
Main Authors: Berndt, Rolf, 1940- (Author), Schmidt, Ralf, 1968- (Author)
Format: Book
Language:English
Published: Basel : Springer, [1998]
Series:Modern Birkhäuser classics
Subjects:
Table of Contents:
  • The Jacobi group
  • Basic representation theory of the Jacobi group
  • Local representations: the real case
  • The space L²([Gamma]J/GJ(R)) and its decomposition
  • Local representations: the p-adic case
  • Spherical representations
  • Global considerations