4 papers · 1 filter
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…
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…
Generators for the representation rings of certain wreath products
Nate Harman
Working in the setting of Deligne categories, we generalize a result of Marin that hooks generate the representation ring of symmetric groups to wreath products of symmetric groups…