The Geometric Weil Representation
表示论
2007-10-18 v2 代数几何
量子物理
摘要
In this paper we construct a geometric analogue of the Weil representation over a finite field. Our construction is principally invariant, not choosing any specific realization. This eliminates most of the unpleasant formulas that appear in the traditional (non-invariant) approaches, and puts in the forefront some delicate geometric phenomena which underlie this representation.
引用
@article{arxiv.math/0610818,
title = {The Geometric Weil Representation},
author = {Shamgar Gurevich and Ronny Hadani},
journal= {arXiv preprint arXiv:math/0610818},
year = {2007}
}
备注
A remark due to Ofer Gabber added (page 12). Accepted for publication (Selecta, December 2006)