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math.MG2025
Estimating the Euclidean distortion of an orbit space
Ben Blum-Smith, Harm Derksen, Dustin G. Mixon +2
Given a finite-dimensional inner product space and a group of isometries, we consider the problem of embedding the orbit space into a Hilbert space in a way that pres…
math.AC2025
Generic orbits, normal bases, and generation degree for fields of rational invariants
Ben Blum-Smith, Harm Derksen
For a faithful linear representation of a finite group in coprime characteristic, we show that if the field Noether number is the minimum such that…