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math.AC2024
Non-noetherian GL-algebras in characteristic two
Karthik Ganapathy
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 provid…
math.AC2024
Resolutions of symmetric ideals via stratifications of derived categories
Karthik Ganapathy
We propose a method to unify various stability results about symmetric ideals in polynomial rings by stratifying related derived categories. We execute this idea for chains of $GL_…
math.AC2024★ 1 cited
GL-algebras in positive characteristic II: the polynomial ring
Karthik Ganapathy
We study GL-equivariant modules over the infinite variable polynomial ring with an infinite field of characteristic . We extend many of…