Nate Harman

collaborators

5 papers

math.RT2025

Representations of finite matrix monoids

Nate Harman, Andrew Snowden, Elad Zelingher

Let $M_{n}$ be the multiplicative monoid of $n \times n$ matrices over a finite field. The monoid algebra $C [M_{n}]$ has been studied for several decades…

math.CT2025

Universal properties of Delannoy categories

Kevin Coulembier, Nate Harman, Andrew Snowden

Recently, the second and third authors introduced a new symmetric tensor category $Perm (G, I^¼)$ associated to an oligomorphic group $G$ with a measure $I^¼$ . Wh…

math.RT2025

Kronecker Coefficients, Crystals, and Bitableaux

Nate Harman, Alexander N. Wilson

What might a combinatorial interpretation of the Kronecker coefficients even look like? We introduce a class of combinatorial objects called bitableaux, which we believe are a natu…

math.RT2025

Classical interpolation categories

Nate Harman, Andrew Snowden

We study tensor categories that interpolate the representation categories of finite classical groups. There are (at least) two ways to approach these categories: via ultraproducts…

math.CO2025

The "Shape" of q-Binomial Coefficients

Nate Harman

This is an informal and mostly expository note describing some asymptotic behavior and qualitative properties of the q-binomial coefficients. The results are mostly not new, but th…