The fundamental theorems of invariant theory for linearly oligomorphic groups

Alessandro Danelon; Andrew Snowden

The fundamental theorems of invariant theory for linearly oligomorphic groups

Representation Theory 2026-07-09 v1

Authors: Alessandro Danelon , Andrew Snowden

Abstract

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 first and second fundamental theorems of invariant theory for them.

Keywords

invariant theory oligomorphic groups infinite dimensional algebraic groups fundamental theorems

Cite

@article{arxiv.2607.08485,
  title  = {The fundamental theorems of invariant theory for linearly oligomorphic groups},
  author = {Alessandro Danelon and Andrew Snowden},
  journal= {arXiv preprint arXiv:2607.08485},
  year   = {2026}
}

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10 pages