Reflection group presentations arising from cluster algebras

Reflection group presentations arising from cluster algebras
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DOI:
10.1090/s0002-9947-2014-06147-3
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发表时间:
2011-12
影响因子:
1.3
通讯作者:
M. Barot;Robert J. Marsh
M. Barot;Robert J. Marsh
中科院分区:
数学1区
文献类型:
--
作者:
M. Barot;Robert J. Marsh

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我们给出了一个有限的晶体反射群在相应的集群代数的有限类型的任意种子方面的介绍和解释介绍在相关的根系统的同伴基地。
We give a presentation of a finite crystallographic reflection group in terms of an arbitrary seed in the corresponding cluster algebra of finite type and interpret the presentation in terms of companion bases in the associated root system.