Jaiung Jun

collaborators

4 papers

math.AG2025

Facets of module theory over semirings

James Borger, Jaiung Jun

We set up some basic module theory over semirings, with particular attention to what is needed in scheme theory over semirings. We show that while not all the usual definitions of…

math.RT2025

Representation theory over semifields

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We study and classify representations of a torsion group $G$ over an idempotent semifield with special attention on the case over the Boolean semifield $B$ . In subsequent…

math.CO2025

Matroidal representations of low rank

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We study tropical subrepresentations of the Boolean regular representation $B [G]$ of a finite group $G$ . These are equivalent to the matroids on ground set $G$ for which l…

math.RT2024

Tropical representations and valuated matroids

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We explore several facets of tropical subrepresentations of a linear representation of a group over the tropical semifield $T$ . A key role in the study of tropical subrepr…