Uniform bases for ideal arrangements
Makoto Enokizono, Tatsuya Horiguchi, Takahiro Nagaoka, Akiyoshi Tsuchiya
Published: 2019/12/5
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 $A,B,C,G$ 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.