A reverse engineering approach to the Weil representation

Anne-Marie Aubert; Tomasz Przebinda

Open Mathematics (2014)

  • Volume: 12, Issue: 10, page 1500-1585
  • ISSN: 2391-5455

Abstract

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We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.

How to cite

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Anne-Marie Aubert, and Tomasz Przebinda. "A reverse engineering approach to the Weil representation." Open Mathematics 12.10 (2014): 1500-1585. <http://eudml.org/doc/269632>.

@article{Anne2014,
abstract = {We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.},
author = {Anne-Marie Aubert, Tomasz Przebinda},
journal = {Open Mathematics},
keywords = {Weil representation; Oscillator representation; Metaplectic representation; oscillator representation; metaplectic representation},
language = {eng},
number = {10},
pages = {1500-1585},
title = {A reverse engineering approach to the Weil representation},
url = {http://eudml.org/doc/269632},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Anne-Marie Aubert
AU - Tomasz Przebinda
TI - A reverse engineering approach to the Weil representation
JO - Open Mathematics
PY - 2014
VL - 12
IS - 10
SP - 1500
EP - 1585
AB - We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.
LA - eng
KW - Weil representation; Oscillator representation; Metaplectic representation; oscillator representation; metaplectic representation
UR - http://eudml.org/doc/269632
ER -

References

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