CLASSIFICATION OF SMALL SPIN MODELS

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概要

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• 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 $.

• 九州大学の論文

著者

• Bannai Eiichi

  Kyushu University Faculty Of Science

• Sali Attila

  Laboratoire De Structures Discretes Et De Didactique Institut Imag

• JAEGER Francois

  Kyushu University, Faculty of science

• Jaeger Francois

  Kyushu University Faculty Of Science

関連論文

• CLASSIFICATION OF SMALL SPIN MODELS
• Classification of Small Spin Models

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