Posets for Specht ideals of essential real reflection groups
Combinatorics
2025-06-19 v1 Algebraic Geometry
Abstract
Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection groups of types and , where their inclusion relations and their varieties reflect rich combinatorial structures. In this paper, we extend this theory to type and the dihedral groups. Our results complete the combinatorial study of Specht ideals across all infinite families of essential real reflection groups.
Keywords
Cite
@article{arxiv.2506.15335,
title = {Posets for Specht ideals of essential real reflection groups},
author = {Sebastian Debus and Kurt Klement Gottwald},
journal= {arXiv preprint arXiv:2506.15335},
year = {2025}
}