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math.QA2025
Canonical bases of tensor products and positivity properties
Jiepeng Fang, Xuhua He
Let be a quantum group of symmetric type. We introduce the {\it thickening realization} to realize (a suitable approximation of) the tensor product ${^ωΛ_{λ_1}}\otimes…
math.AG2025
Dual Shellability of Admissible Set and Cohen-Macaulayness of Local Models
Xuhua He, Qingchao Yu
We prove Görtz's combinatorial conjecture \cite{Go01} on dual shellability of admissible sets in Iwahori-Weyl groups, proving that the augmented admissible set $\widehat{\mathrm{Ad…