Sym-Noetherianity for powers of GL-varieties
Christopher H. Chiu, Alessandro Danelon, Jan Draisma, Rob H. Eggermont, Azhar Farooq
Published: 2022/12/12
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.