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...
Main Authors: | , |
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Format: | Book |
Language: | English |
Published: |
Basel :
Springer,
[1998]
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Series: | Modern Birkhäuser classics
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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