LCA(2), Weil index, and product formula
Representation Theory
2017-08-31 v1 Number Theory
Abstract
In this paper we study the category LCA(2) of certain non-locally compact abelian topological groups, and extend the notion of Weil index. As applications we deduce some product formulas for curves over local fields and arithmetic surfaces.
Keywords
Cite
@article{arxiv.1708.09205,
title = {LCA(2), Weil index, and product formula},
author = {Dongwen Liu and Yongchang Zhu},
journal= {arXiv preprint arXiv:1708.09205},
year = {2017}
}
Comments
36 pages; comments are welcome