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.
@article{bwmeta1.element.doi-10_2478_s11533-014-0428-8,
author = {Anne-Marie Aubert and Tomasz Przebinda},
title = {A reverse engineering approach to the Weil representation},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1500-1585},
zbl = {1297.22008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0428-8}
}
Anne-Marie Aubert; Tomasz Przebinda. A reverse engineering approach to the Weil representation. Open Mathematics, Tome 12 (2014) pp. 1500-1585. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0428-8/
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