1 citations · 1 across the 8 of their papers we have counts for
8 papers
Axiomatics for generic categories in positive characteristic
Karthik Ganapathy
Generic categories arising in representation stability and equivariant commutative algebra are difficult to analyze in positive characteristic, as these categories rarely admit eno…
GL-algebras in positive characteristic III: the divided power algebra
Karthik Ganapathy
In this paper, we study GL-equivariant modules over the infinite-variable divided power algebra with an algebraically closed field of characteristi…
Derived equivalences via Tate resolutions
K. Ganapathy, Sarang Sane
For any finite sequence of elements in a commutative noetherian ring , we show that for , the natural map from the Koszul complex $K(s_1^n, \ldots ,…
Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
Karthik Ganapathy
A long-standing open problem in representation stability is whether every finitely generated commutative algebra in the category of strict polynomial functors satisfies the noether…
Noncommutative invariants of finite and classical groups
Karthik Ganapathy
We investigate the structure of the invariant subring of the tensor algebra of a -representation , viewed as a twisted commutative algebra (tca). For a faithful repres…
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…
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_…
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…