82 citations · 169 across the 34 of their papers we have counts for
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The poset of Specht ideals for hyperoctahedral groups
Sebastian Debus, Philippe Moustrou, Cordian Riener +1
Specht polynomials classically realize the irreducible representations of the symmetric group. The ideals defined by these polynomials provide a strong connection with the combinat…
Equivariant algebraic and semi-algebraic geometry of infinite affine space
Mario Kummer, Cordian Riener
We study -orbit closures of not necessarily closed points in the Zariski spectrum of the infinite polynomial ring $\mathbb{C}[x_{ij}:\, i\in\mathbb{N},\,j\in[…
Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description
Evelyne Hubert, Tobias Metzlaff, Cordian Riener
The Weyl group of a crystallographic root system has a nonlinear action on the compact torus. The orbit space of this action is a compact basic semi-algebraic set. We present a pol…
Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions
Cordian Riener, Robin Schabert
A real univariate polynomial of degree is called hyperbolic if all of its roots are on the real line. Such polynomials appear quite naturally in different applications, for…