Dual Infinite Wedge is $\mathrm{GL}_{\infty}$-equivariantly noetherian
Algebraic Geometry
2020-08-24 v1 Representation Theory
Abstract
We prove the (equivariant) noetherian property for a wide class of varieties generalizing the class of Plucker varieties (Theorem 1). It improves previous results of Draisma-Eggermont who treated the case of bounded Plucker varieties. Key ingredient of our proof is the constructive proof of the equivariant noetherianity for the hyper-Pfaffians (Theorem 36) which implies the equivariant noetherianity of the dual infinite wedge.
Cite
@article{arxiv.2008.09531,
title = {Dual Infinite Wedge is $\mathrm{GL}_{\infty}$-equivariantly noetherian},
author = {Ilia Nekrasov},
journal= {arXiv preprint arXiv:2008.09531},
year = {2020}
}
Comments
15 pages