Representation theory over semifields

2024/11/29 by Jaiung Jun, Jun, Jaiung, Kalina Mincheva +3
Mathematics · #05B35 #05E10 #12K10 #14T10 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2411.19883

openalex publication_date 2024/11/29 · openalex created_date 2024/12/05 · openalex updated_date 2026/07/28

Abstract

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

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