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math.RT2026
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…
math.AG2026
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…
math.RT2026
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…