64 citations · 346 across the 53 of their papers we have counts for
5 papers · 1 filter
Tropical Invariants for Permutation Group Actions
Harm Derksen
We consider the action of a permutation group of order on the tropical polynomial semiring in variables. We prove that the sub-semiring of invariant polynomials is fini…
Invariants of finite groups acting on (free) skew fields
Harm Derksen, Jurij Volčič
Let be a finitely generated skew field over a ground field , and let be a finite group of -linear automorphisms of . This paper investigates finite generation of t…
Constructive counterexamples to the additivity of minimum output Rényi entropy of quantum channels for all
Harm Derksen, Benjamin Lovitz
We present explicit quantum channels with strictly sub-additive minimum output Rényi entropy for all , improving upon prior constructions which handled . Our example is p…
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…
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…