122 citations · 901 across the 71 of their papers we have counts for
6 papers · 2 filters
Arboreal tensor categories
Nate Harman, Ilia Nekrasov, Andrew Snowden
We introduce some new symmetric tensor categories based on the combinatorics of trees: a discrete family , for an integer, and a continuous family $\mathc…
On the representation theory of the symmetry group of the Cantor set
Andrew Snowden
In previous work with Harman, we introduced a new class of representations for an oligomorphic group , depending on an auxiliary piece of data called a measure. In this paper, w…
Some fast-growing tensor categories
Andrew Snowden
Given a semi-simple pre-Tannakian category over a finite field, we show that (a slight modification of) its linearization over a field of characteristic 0 is also semi-simple and p…
Discrete pre-Tannakian categories
Nate Harman, Andrew Snowden
Pre-Tannakian categories are a natural class of tensor categories that can be viewed as generalizations of algebraic groups. We define a pre-Tannkian category to be discrete if it…
The circular Delannoy category
Nate Harman, Andrew Snowden, Noah Snyder
Let (resp. ) be the group of orientation preserving self-homeomorphisms of the unit circle (resp. real line). In previous work, the first two authors constructed pre-Tannaki…
Pre-Galois categories and Fraïssé's theorem
Nate Harman, Andrew Snowden
Galois categories can be viewed as the combinatorial analog of Tannakian categories. We introduce the notion of pre-Galois category, which can be viewed as the combinatorial analog…