E. Park

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20242026

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math.RT2024

Verlinde rings and cluster algebras arising from quantum affine algebras

Chul-hee Lee, Jian-Rong Li, Euiyong Park

We formulate a positivity conjecture relating the Verlinde ring associated with an untwisted affine Lie algebra at a positive integer level and a subcategory of finite-dimensional…

math.RT2024

Braid group actions on grassmannians and extended crystals of type $A$

Jian-Rong Li, Euiyong Park

Let $I ¨ _{i}$ be the braid actions on infinite Grassmannian cluster algebras induced from Fraser's braid group actions. Let $T_{i}$ be the braid group actions on (quantum) Grot…

Verlinde rings and cluster algebras arising from quantum affine algebras

Braid group actions on grassmannians and extended crystals of type A

Braid group actions on grassmannians and extended crystals of type $A$