Mutating loops and 2-cycles in 2-CY triangulated categories

Mutating loops and 2-cycles in 2-CY triangulated categories
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2-CY 三角类别中的变异循环和 2 循环

DOI:
10.1016/j.jalgebra.2011.03.005
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发表时间:
2010
期刊:
arXiv: Representation Theory
影响因子:
--
通讯作者:
Steffen Oppermann
Steffen Oppermann
中科院分区:
--
文献类型:
--
作者:
Marco Angel Bertani;Steffen Oppermann

文献摘要

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在一定的条件下,给出了具有圈和2-圈的2-CY倾斜代数的变异箭图的一种方法。进一步地,我们给出了由标准代数2-CY三角范畴中不可分解类有限的2-CY倾斜代数的分类。这些代数满足我们的变异方法的设置。
We derive a method for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles, under certain specific conditions. Further, we give the classification of the 2-CY tilted algebras coming from standard algebraic 2-CY triangulated categories with a finite number of indecomposables. These algebras satisfy the setup for our method of mutation.