203 citations · 303 across the 19 of their papers we have counts for
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math.RT2015★ 30 cited
Classifying tilting complexes over preprojective algebras of Dynkin type
Takuma Aihara, Yuya Mizuno
We study tilting complexes over preprojective algebras of Dynkin type. We classify all tilting complexes by giving a bijection between tilting complexes and the braid group of the…
math.RT2015★ 31 cited
Classification of two-term tilting complexes over Brauer graph algebras
Takahide Adachi, Takuma Aihara, Aaron Chan
Using only the combinatorics of its defining ribbon graph, we classify the two-term tilting complexes, as well as their indecomposable summands, of a Brauer graph algebra. As an ap…