17 citations · 48 across the 24 of their papers we have counts for
29 papers
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…
Universal properties of Delannoy categories
Kevin Coulembier, Nate Harman, Andrew Snowden
Recently, the second and third authors introduced a new symmetric tensor category associated to an oligomorphic group with a measure . When…
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…
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…
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…
Tensor spaces and the geometry of polynomial representations
Nate Harman, Andrew Snowden
A "tensor space" is a vector space equipped with a finite collection of multi-linear forms. In previous work, we showed that (for each signature) there exists a universal homogeneo…