203 citations · 303 across the 19 of their papers we have counts for
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math.RT2010★ 3 cited
Tilting-connected symmetric algebras
Takuma Aihara
The notion of silting mutation was introduced by Iyama and the author. In this paper we mainly study silting mutation for self-injective algebras and prove that any representation-…
math.RT2010★ 203 cited
Silting mutation in triangulated categories
Takuma Aihara, Osamu Iyama
In representation theory of algebras the notion of `mutation' often plays important roles, and two cases are well known, i.e. `cluster tilting mutation' and `exceptional mutation'.…
math.RA2010★ 10 cited
Mutating Brauer trees
Takuma Aihara
In this paper we introduce mutation of Brauer trees. We show that our mutation of Brauer trees explicitly describes the tilting mutation of Brauer tree algebras introduced by Okuya…