3 papers
math.CO2025
Posets for Specht ideals of essential real reflection groups
Sebastian Debus, Kurt Klement Gottwald
Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection…
math.AG2024
Symmetric nonnegative functions, the tropical Vandermonde cell and superdominance of power sums
Jose Acevedo, Grigoriy Blekherman, Sebastian Debus +1
We study nonnegative and sums of squares symmetric (and even symmetric) functions of fixed degree. We can think of these as limit cones of symmetric nonnegative polynomials and sym…
math.AG2024
On nonnegative invariant quartics in type A
Sebastian Debus, Charu Goel, Salma Kuhlmann +1
The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type A. As a first step to a classification…