On the wavefront sets associated with theta representations
Representation Theory
2020-08-11 v1 Number Theory
Abstract
We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over -adic fields. In particular, it is shown that the formula agrees with the existing work in the literature for various families of groups. We also recapitulate the results of an analogous formula in the archimedean case, which motivated the conjectural formula in the -adic setting.
Cite
@article{arxiv.2008.03630,
title = {On the wavefront sets associated with theta representations},
author = {Fan Gao and Wan-Yu Tsai},
journal= {arXiv preprint arXiv:2008.03630},
year = {2020}
}
Comments
34 pages