Two dimensional integral representations via branches of the Bruhat-Tits tree
Number Theory
2025-09-23 v2
Abstract
We apply the theory of branches in Bruhat-Tits trees, developed in previous works by the second author and others, to the study of two dimensional representations of finite groups over the ring of integers of a number field. We provide a general strategy to perform these computations, and we give explicit formulas for some particular families.
Cite
@article{arxiv.2506.05661,
title = {Two dimensional integral representations via branches of the Bruhat-Tits tree},
author = {Bruno Aguiló-Vidal and Luis Arenas-Carmona and Matías Saavedra-Lagos},
journal= {arXiv preprint arXiv:2506.05661},
year = {2025}
}
Comments
25 pages, 7 figures