Yuta Kimura

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-tilting theory and silting theory of skew group algebra extensions

1 citations · 1 across the 2 of their papers we have counts for

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math.RT2025

Tilting theoretic approach to quasi-hereditary structures

Takahide Adachi, Aaron Chan, Yuta Kimura +1

A quasi-hereditary algebra is an algebra equipped with a certain partial order $⊴$ on its simple modules. Such a partial order -- called a quasi-hereditary structure -- gives…

math.RT2025

Schur roots and tilting modules of acyclic quivers over commutative rings

Osamu Iyama, Yuta Kimura

Let $Q$ be a finite acyclic quiver and $A_{Q}$ the cluster algebra of $Q$ . It is well-known that for each field $k$ , the additive equivalence classes of support tilting $k Q$ -modules…

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…

Tilting theoretic approach to quasi-hereditary structures

Schur roots and tilting modules of acyclic quivers over commutative rings

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

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