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arXiv · 2506.05661

Two dimensional integral representations via branches of the Bruhat-Tits tree

Bruno Aguiló-Vidal·Luis Arenas-Carmona·Matías Saavedra-Lagos
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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.

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Bruno Aguiló-Vidal, Luis Arenas-Carmona, Matías Saavedra-Lagos. 2025-06-06. Two dimensional integral representations via branches of the Bruhat-Tits tree. https://arxiv.org/abs/2506.05661

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