The Automorphisms of Affine Fusion Rings
The Automorphisms of Affine Fusion Rings
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DOI：
10.1006/aima.2001.2006
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发表时间：
2000-02
影响因子：
1.7
通讯作者：
T. Gannon
中科院分区：
文献类型：
--
作者：
T. Gannon
与仿射Kac-Moody代数相关的融合环出现在数学和数学物理的几个不同背景中。本文给出了所有仿射融合环的所有自同构，或等价地给出了相应融合系数的对称性。其中大部分都与相应的Coxeter-Dynkin图的对称性直接相关。我们还找到了所有的同构仿射融合环对。
The fusion rings associated to affine Kac-Moody algebras appear in several different contexts in math and mathematical physics. In this paper we find all automorphisms of all affine fusion rings, or equivalently the symmetries of the corresponding fusion coefficients. Most of these are directly related to symmetries of the corresponding Coxeter-Dynkin diagram. We also find all pairs of isomorphic affine fusion rings.