Non-noetherian GL-algebras in characteristic two
Commutative Algebra
2024-08-15 v2 Combinatorics
Representation Theory
Abstract
Over fields of characteristic two, we construct an infinite ascending chain of GL-stable ideals in the coordinate ring of infinite skew-symmetric matrices. This construction provides the first known example of a non-noetherian GL-algebra, thereby resolving a long-standing open question in the area. Our results build on the work of Draisma, Krasilnikov, and Krone.
Cite
@article{arxiv.2408.04630,
title = {Non-noetherian GL-algebras in characteristic two},
author = {Karthik Ganapathy},
journal= {arXiv preprint arXiv:2408.04630},
year = {2024}
}
Comments
v2: added Theorem 1.4 and related results; 6 pages, many tikz diagrams