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| 概要 |
Symmetric spin models were introduced by Jones to obtain invariants of links. In his paper he proposed to obtain the classification of models $ (X, w_{+}, w_{-}) $ with $ mid X mid = 4, 5, 6 and 7 $.... In the present paper we complete this task by showing that the only spin models of these sizes are the Potts models, those coming from cyclic groups for $ 5 leqq n leqq 7 $, and for $ n=4 $ some other models obtained by the product construction of de la Harpe. Furthermore, we also classify the non-symmetric Jones-type spin models introduced by Kawagoe, Munemasa and Watatani, for $ n=4, 5 $.続きを見る
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