English

Representation theory over semifields

Representation Theory 2025-02-17 v3 Algebraic Geometry Combinatorics

Abstract

We study and classify representations of a torsion group GG over an idempotent semifield with special attention on the case over the Boolean semifield B\mathbb{B}. In subsequent work we extend this theory to studying representations of matroids of low rank.

Keywords

Cite

@article{arxiv.2411.19883,
  title  = {Representation theory over semifields},
  author = {Jaiung Jun and Kalina Mincheva and Jeffrey Tolliver},
  journal= {arXiv preprint arXiv:2411.19883},
  year   = {2025}
}

Comments

The original submission was divided into two parts; this is the first

R2 v1 2026-06-28T20:17:09.135Z