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math.RT2025
Representations of finite matrix monoids
Nate Harman, Andrew Snowden, Elad Zelingher
Let be the multiplicative monoid of matrices over a finite field. The monoid algebra has been studied for several decades…
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…