Yuya Mizuno

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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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3 papers · 1 filter

math.RT2024★ 1 cited

$τ$ -tilting theory and silting theory of skew group algebra extensions

Yuta Kimura, Ryotaro Koshio, Yuta Kozakai +2

Let $Λ$ be a finite dimensional algebra with an action by a finite group $G$ and $A := Λ * G$ the skew group algebra. One of our main results asserts that the canonical restriction-in…

math.RT2024

Derived preprojective algebras and spherical twist functors

Yuya Mizuno, Dong Yang

We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors and mutations. Esp…

math.RT2024

Dimensions of $τ$ -tilting modules over path algebras and preprojective algebras of Dynkin type

Toshitaka Aoki, Yuya Mizuno

In this paper, we introduce a new generating function called $d$ -polynomial for the dimensions of $τ$ -tilting modules over a given finite dimensional algebra. Firstly, we study bas…

τ-tilting theory and silting theory of skew group algebra extensions

Derived preprojective algebras and spherical twist functors

Dimensions of τ-tilting modules over path algebras and preprojective algebras of Dynkin type

$τ$ -tilting theory and silting theory of skew group algebra extensions

Dimensions of $τ$ -tilting modules over path algebras and preprojective algebras of Dynkin type