64 citations · 346 across the 53 of their papers we have counts for
11 papers · 1 filter
Syzygies of the transfer ideal of the symmetric group
Harm Derksen, Alexandra Pevzner
We consider the modular action of the symmetric group on when . We show that the image of the transfer map …
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…
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…
Bi-Lipschitz Quotient embedding for Euclidean Group actions on Data
Harm Derksen
For the action of the orthogonal group or euclidean group on k-tuples of vectors we construct a bi-Lipschitz embedding from the orbit space into euclidean space.This embedding has…
The Gaussian Moments Conjecture and the Jacobian Conjecture
Harm Derksen, Arno van den Essen, Wenhua Zhao
We first propose what we call the Gaussian Moments Conjecture. We then show that the Jacobian Conjecture follows from the Gaussian Moments Conjecture. We also give a counter-exampl…
Computing invariants of algebraic group actions in arbitrary characteristic
Harm Derksen, Gregor Kemper
Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for computing generators of the invariant ring K[X]^G in the case where G is reductive. Fu…