Ryotaro Koshio

most citedA characterization for induced modules to be support

τ

-tilting modules

1 citations · 1 across the 3 of their papers we have counts for

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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.RT2023★ 1 cited

A characterization for induced modules to be support $τ$ -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let $G ~$ be a finite group and $G$ a normal subgroup of $G ~$ . In this paper, we give a necessary and sufficient condition for $Ind_{G}^{G ~} M$ to be a su…

math.RT2023

Normal subgroups and support $τ$ -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let $G ~$ be a finite group, $G$ a normal subgroup of $G ~$ and $k$ an algebraically closed field of characteristic $p > 0$ . The first main result in this paper is to sho…

math.RT2022

On induced modules of inertial-invariant support $τ$ -tilting modules over blocks of finite groups

Ryotaro Koshio

In this article, we prove that induced modules of support $τ$ -tilting modules over blocks of finite groups satisfying inertial-invariant condition are also support $τ$ -tilting modu…

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

A characterization for induced modules to be support τ-tilting modules

Normal subgroups and support τ-tilting modules

On induced modules of inertial-invariant support τ-tilting modules over blocks of finite groups

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

A characterization for induced modules to be support $τ$ -tilting modules

Normal subgroups and support $τ$ -tilting modules

On induced modules of inertial-invariant support $τ$ -tilting modules over blocks of finite groups