7 papers
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…
The singular locus of a GL-variety
Christopher Heng Chiu, Alessandro Danelon, Andrew Snowden
A -variety is a (typically) infinite dimensional variety equipped with an action of the infinite general linear group. In recent work of the first two authors with…
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…
Balanced player arrangement in rotating court games
Alessandro Danelon
Consider a game involving a team with players, of which wear shirts marked with a letter , while the others with a letter , and such that only people play, while…
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…
Singular loci in varieties of tensors
Christopher Chiu, Alessandro Danelon, Jan Draisma
A Vec-variety is a suitable functor from finite-dimensional vector spaces to finite-dimensional varieties. Most varieties in the geometry of tensors, e.g. the variety of d-way tens…