Two dimensional integral representations via branches of the Bruhat-Tits tree
Bruno Aguiló-Vidal, Luis Arenas-Carmona, Matías Saavedra-Lagos
Published: 2025/6/6
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.