Xuhua He

collaborators

Showing math.RTShow all

3 papers · 1 filter

math.RT2025

Irreducible components of affine Lusztig varieties

Xuhua He

Let $G ˘$ be a loop group and $W ~$ be its Iwahori-Weyl group. The affine Lusztig variety $Y_{w} (γ)$ describes the intersection of the Bruhat cell $\mathcal{I} \dot{w} \ma…

math.RT2025

Lusztig varieties for regular elements

Xuhua He, Ruben La

Let $G$ be a connected reductive group over an algebraically closed field. Let $B$ be a Borel subgroup of $G$ and $W$ be the associated Weyl group. We show that for any $w \in W$ t…

math.RT2022

Product structure and regularity theorem for totally nonnegative flag varieties

Huanchen Bao, Xuhua He

The totally nonnegative flag variety was introduced by Lusztig. It has enriched combinatorial, geometric, and Lie-theoretic structures. In this paper, we introduce a (new) $J$ -tota…