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math.AC2025
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…
math.RA2025
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…