Hironori Oya

activity

20152026

most citedQuantum Grothendieck ring isomorphisms, cluster algebras and Kazhdan-Lusztig algorithm

20 citations · 102 across the 15 of their papers we have counts for

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2 papers · 1 filter

math.RT2026

Algebraic study of quantum configuration spaces of decorated flags

Tsukasa Ishibashi, Hironori Oya

Let $G$ be a connected, simply connected complex simple algebraic group and $A_{G} = G / U^{+}$ its base affine space, whose elements are called decorated flags. We introduce the…

math.QA2026

Integral cluster structures on quantized coordinate rings

Hironori Oya, Fan Qin, Milen Yakimov

We develop (quantum) cluster algebra structures over arbitrary commutative unital rings $k$ and prove that the (quantized) coordinate rings of connected simply-connected comple…