Shaolong Han

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20222026

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math.RT2026

Closed formulas for energy functions on tensor squares of higher-level perfect crystals in classical affine types

Shaolong Han

For every $l \geq 1$ , we construct explicit closed-form coordinate formulas for the local energy functions on the tensor products $B_{l} \otimes B_{l}$ of level- $l$ perfect crystals in cl…

math.RT2026

Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_{n}$

Shaolong Han

By utilizing the combinatorial properties of various tableau models, we establish an explicit correspondence between the polyhedral realizations of the crystal bases $\mathcal B(λ)…

Closed formulas for energy functions on tensor squares of higher-level perfect crystals in classical affine types

Young tableau descriptions for the polyhedral realizations of crystal bases in type An​

Young tableau descriptions for the polyhedral realizations of crystal bases in type $A_{n}$