Quantum cluster algebras and their specializations
Quantum cluster algebras and their specializations
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DOI：
10.1016/j.jalgebra.2019.04.033
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发表时间：
2020-09-15
影响因子：
0.9
通讯作者：
Schroer, Jan
中科院分区：
文献类型：
--
作者：
Gei, Christof;Leclerc, Bernard;Schroer, Jan
我们证明了，如果一个团簇代数与它的上团簇代数重合，并且允许有有限维齐次分支的分次，则对应的Berenstein-Zlevinsky量子团簇代数可以看作是经典团簇代数的平坦变形。(C)2019 Elsevier Inc.保留所有权利。
We show that if a cluster algebra coincides with its upper cluster algebra and admits a grading with finite dimensional homogeneous components, the corresponding Berenstein-Zelevinsky quantum cluster algebra can be viewed as a flat deformation of the classical cluster algebra. (C) 2019 Elsevier Inc. All rights reserved.