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math.RT2026
Unitary Invariants of the Finite Heisenberg Group
Josh Katz
Polynomial invariants of a group action often appear only in high degree, and in many representations the invariant ring imposes severe degree constraints before any nontrivial inv…
math.RT2025
Polarization algebras and the geometry of commuting varieties
Josh Katz
We prove a reduced version of the Chevalley restriction conjecture on the commuting scheme posed by T.H. Chen and B.C. Ngô, extending the results of Hunziker for classical groups.…