4 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…
Topological noetherianity for powers of algebraic representations
Alessandro Danelon
Powers of a polynomial -representation are topologically Noetherian under the action of . We extend this result to p…
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…
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…