Yuya Mizuno

activity

20112025

most citedClassifying tilting complexes over preprojective algebras of Dynkin type

30 citations · 81 across the 19 of their papers we have counts for

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math.RT2022

Shard theory for $g$ -fans

Yuya Mizuno

For a finite dimensional algebra $A$ , the notion of $g$ -fan $Σ (A)$ is defined from two-term silting complexes of $A$ in the real Grothendieck group $K_0(\mathsf{proj} A)_{\mathbb{R…

math.RT2022★ 5 cited

Fans and polytopes in tilting theory I: Foundations

Toshitaka Aoki, Akihiro Higashitani, Osamu Iyama +2

For a finite dimensional algebra $A$ over a field $k$ , the 2-term silting complexes of $A$ gives a simplicial complex $Δ (A)$ called the $g$ -simplicial complex. We give tilting theo…

Shard theory for g-fans

Fans and polytopes in tilting theory I: Foundations

Shard theory for $g$ -fans