6 papers · 1 filter
The fundamental theorems of invariant theory for linearly oligomorphic groups
Alessandro Danelon, Andrew Snowden
In recent work, Harman and the second author introduced some new infinite dimensional algebraic groups that generalize the classical groups. In this paper, we establish versions of…
A characterization of the Delannoy category by Adams operations
Andrew Snowden, Noah Snyder
In recent joint work with Harman, we studied a pre-Tannakian category called the Delannoy category, and showed that it had numerous special properties. One of these is that the Ada…
A remark on automorphisms of tensor spaces
Alessandro Danelon, Andrew Snowden
A tensor space is a vector space equipped with a finite collection of multi-linear forms. In recent years, a rich theory of infinite dimensional tensor spaces has emerged. In this…
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…
Biquadratic spaces of length two
Alessandro Danelon, Andrew Snowden
A tensor space is a vector space equipped with a finite collection of multilinear forms. The length of a tensor space is its length as a representation of its symmetry group. Infin…
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…