Tilting Mutation and Duplicated Algebras

Tilting Mutation and Duplicated Algebras
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DOI:
10.1080/00927870802504965
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发表时间:
2009-10
影响因子:
0.7
通讯作者:
Shunhua Zhang
Shunhua Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Shunhua Zhang

文献摘要

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设是代数闭域k上遗传代数A的复制代数,且λA是模A的簇范畴。本文研究了图A和图mod的倾斜突变的性质,证明了图A的倾斜图是连通的。
Let be the duplicated algebra of a hereditary algebra A over an algebraically closed field k, and 𝒞 A the cluster category of mod A. In this article, we investigate the properties of tilting mutations in 𝒞 A and mod , and prove that the tilting graph of is connected.