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math.RT2026
Algebraic study of quantum configuration spaces of decorated flags
Tsukasa Ishibashi, Hironori Oya
Let be a connected, simply connected complex simple algebraic group and its base affine space, whose elements are called decorated flags. We introduce the…
math.RT2024
Unbounded -laminations around punctures
Tsukasa Ishibashi, Shunsuke Kano
We continue to study the unbounded -laminations [IK22], with a focus on their structures at punctures. A key ingredient is their relation to the root data of $\mat…
math.RT2024★ 1 cited
Entropy of cluster DT transformations and the finite-tame-wild trichotomy of acyclic quivers
Tsukasa Ishibashi, Shunsuke Kano
The cluster algebra associated with an acyclic quiver has a special mutation loop , called the cluster Donaldson--Thomas (DT) transformation, related to the Auslander--Reiten tr…