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

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Bibliographic Details
Title: Two dimensional integral representations via branches of the Bruhat-Tits tree.
Authors: Aguiló-Vidal, Bruno1 (AUTHOR) bruno.aguilo@udp.cl, Arenas-Carmona, Luis1,2 (AUTHOR) learenas@u.uchile.cl, Saavedra-Lagos, Matías2 (AUTHOR) matias.saavedra.l@ug.uchile.cl
Source: Journal of Number Theory. Jul2026, Vol. 284, p62-103. 42p.
Subjects: Integral representations, Rings of integers, Group theory, Algebraic number theory, Representation theory, Mathematical formulas, Finite groups
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. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:0022314X
DOI:10.1016/j.jnt.2025.12.005