The Weil representation, Maslov index and Theta series

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Springer Science & Business Media, Nov 11, 2013 - Mathematics - 337 pages

This is a collection of research-oriented monographs, reports, and notes arising from lectures and seminars on the Weil representation, the Maslov index, and the Theta series. It is good contribution to the international scientific community, particularly for researchers and graduate students in the field.

 

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Contents

The Heisenberg group and the Schrödinger
12
Fourier transforms and intertwining operators
30
Maslov index
39
The cocycle of the ShaleWeil representation
47
Oriented Lagrangian planes and the metaplectic
64
The universal covering group of SL2R
73
The universal covering group of the symplectic
84
A generalization of Maslov index
104
Bibliographical notes
116
Part Thetaseries and applications by Michèle Vergne
123
Bibliographical notes
330
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