October 20, 2025Open Access

Posets for Specht ideals of essential real reflection groups

Key Points

This research completes the combinatorial study of specht ideals for all essential real reflection groups.
Inclusion relations of specht ideals exhibit rich combinatorial structures across several group types.
Findings extend previous studies on specht ideals for types A and B to include type D and dihedral groups.
The paper provides insights into symmetric ideals and their connections to group representations through combinatorics.

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 A and B, where their inclusion relations and their varieties reflect rich combinatorial structures. In this paper, we extend this theory to type D and the dihedral groups. Our results complete the combinatorial study of Specht ideals across all infinite families of essential real reflection groups.

Read Full Paperexternally

Demander à l'IA

Bookmark

View Full Paper

Cite This Study

Debus et al. (Wed,) studied this question.

synapsesocial.com/papers/68f6379bb481a140a36cf759 https://doi.org/https://doi.org/10.48550/arxiv.2506.15335

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Demander à l'IA

Bookmark

View Full Paper