Uniform bases for ideal arrangements
Algebraic Geometry
2025-09-09 v2 Algebraic Topology
Combinatorics
Representation Theory
Abstract
In this paper we introduce and study uniform bases for the ideal arrangements in all Lie types. Explicit uniform bases are given by Abe-Horiguchi-Masuda-Murai-Sato for types and we provide them for other types. Combining the explicit uniform bases with the work of Abe-Horiguchi-Masuda-Murai-Sato, we also obtain explicit presentations of the cohomology rings of regular nilpotent Hessenberg varieties in all Lie types.
Cite
@article{arxiv.1912.02448,
title = {Uniform bases for ideal arrangements},
author = {Makoto Enokizono and Tatsuya Horiguchi and Takahiro Nagaoka and Akiyoshi Tsuchiya},
journal= {arXiv preprint arXiv:1912.02448},
year = {2025}
}
Comments
37 pages, 18 figures