Xuhua He

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20222026

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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…