Sym-Noetherianity for powers of GL-varieties
Algebraic Geometry
2025-09-17 v2 Combinatorics
Representation Theory
Abstract
Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action.
Keywords
Cite
@article{arxiv.2212.05790,
title = {Sym-Noetherianity for powers of GL-varieties},
author = {Christopher H. Chiu and Alessandro Danelon and Jan Draisma and Rob H. Eggermont and Azhar Farooq},
journal= {arXiv preprint arXiv:2212.05790},
year = {2025}
}