Subfactors of index less than 5, part 4: vines
Subfactors of index less than 5, part 4: vines
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指数小于 5 的子因子，第 4 部分：葡萄树
DOI：
10.1142/s0129167x11007641
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发表时间：
2010
影响因子：
0.6
通讯作者：
James E. Tener
中科院分区：
文献类型：
--
作者：
David Penneys;James E. Tener
我们消除了 39 个可能主图的无限族，作为直到索引 5 的子因子分类的一部分。Calegari-Morrison-Snyder 的数论结果概括了 Asaeda-Yasuda，将每个无限族减少到有限数量的情况。我们提供了计算该结果所需的有效常数的算法，并且我们获得了 28 个可能的主图。 Ostrik d 数测试和代数整数测试将此列表减少到索引范围 (4,5) 中的七个图，这些图实际上作为主图出现。
We eliminate 39 infinite families of possible principal graphs as part of the classification of subfactors up to index 5. A number-theoretic result of Calegari–Morrison–Snyder, generalizing Asaeda–Yasuda, reduces each infinite family to a finite number of cases. We provide algorithms for computing the effective constants that are required for this result, and we obtain 28 possible principal graphs. The Ostrik d-number test and an algebraic integer test reduce this list to seven graphs in the index range (4,5) which actually occur as principal graphs.