Xuhua He

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20222026

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3 papers · 1 filter

math.RT2026

Regularity of Totally Nonnegative Wonderful Compactification

Xuhua He, Kaitao Xie

Let $G$ be a split real semisimple group of adjoint type. We prove that the cellular decomposition of the totally nonnegative part of its wonderful compactification is a regular CW…

math.NT2026

Cohen-Macaulayness of Local Models via Shellability of the Admissible Set

Xuhua He, Felix Schremmer, Qingchao Yu

We prove that for any dominant cocharacter $μ$ and any parahoric level $K$ , the augmented admissible set $\widehat{\Adm(μ)^K}$ in the Iwahori-Weyl group is dual EL-shellable. This…

math.RT2026

Total positivity in twisted flag varieties

Xuhua He, Kaitao Xie

Let $G$ be a Kac-Moody group, split over $R$ . The totally nonnegative part of $G$ and its (ordinary) flag variety $G / B^{+}$ was introduced by Lusztig. It is known that the to…