Classification of two-term tilting complexes over Brauer graph algebras
Classification of two-term tilting complexes over Brauer graph algebras
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DOI：
10.1007/s00209-017-2006-9
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发表时间：
2015-04
影响因子：
0.8
通讯作者：
T. Adachi;T. Aihara;Aaron Chan
中科院分区：
文献类型：
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作者：
T. Adachi;T. Aihara;Aaron Chan
仅使用其定义的带状图的组合学，我们分类的两项倾斜复形，以及它们的不可分解的和，布劳尔图代数。作为应用，我们精确地确定了一类倾斜离散的Brauer图代数。
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 application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.