activity
20202024
most citedA characterization for induced modules to be support -tilting modules

1 citations · 2 across the 6 of their papers we have counts for

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6 papers

math.RT2024★ 1 cited

-tilting theory and silting theory of skew group algebra extensions

Yuta Kimura, Ryotaro Koshio, Yuta Kozakai +2

Let be a finite dimensional algebra with an action by a finite group and 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 -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let be a finite group and a normal subgroup of . In this paper, we give a necessary and sufficient condition for to be a su…

math.RT2023

Normal subgroups and support -tilting modules

Ryotaro Koshio, Yuta Kozakai

Let be a finite group, a normal subgroup of and an algebraically closed field of characteristic . The first main result in this paper is to sho…

math.RT2022

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

Ryotaro Koshio

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

math.RT2021

Induced modules of support -tilting modules and extending modules of semibricks over blocks of finite groups

Ryotaro Koshio, Yuta Kozakai

In this article we study support -tilting modules, semibricks and more over blocks of group algebras. Let be an algebraically closed field of characteristic , $\tilde{G…

math.RT2020

On support -tilting modules over blocks covering cyclic blocks

Ryotaro Koshio, Yuta Kozakai

Support -tilting modules correspond to some classes of categorical objects bijectively, such as two-term tilting complexes for any finite dimensional symmetric algebra. This fac…