Braid Group Representations and Link Polynomials Derived from Generalized SU (n) Vertex Models

Braid Group Representations and Link Polynomials Derived from Generalized SU (n) Vertex Models
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从广义 SU (n) 顶点模型导出的辫子群表示和链接多项式

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
T. Deguchi
T. Deguchi
中科院分区:
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文献类型:
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作者:
T. Deguchi

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一个新的层次的辫子群表示来自与SU(n)对称性相关的可解顶点模型的推广。基于辫子群表示上的马尔可夫迹,得到了一族链多项式。该层次结构包括Alexander-Conway多项式和Jones多项式作为特殊情况。链接多项式是HOMFLY多项式的单变量实现。
A new hierarchy of braid group representations is derived from a generalization of solvable vertex models associated with SU ( n ) symmetry. A family of link polynomials is obtained based on the Markov traces on the braid group representations. The hierarchy includes both the Alexander-Conway polynomial and the Jones polynomial as special cases. The link polynomials are one-variable realizations of the HOMFLY polynomial.