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

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概要

• 論文の詳細を見る

• A new hierarchy of braid group representations is derived from a generalization ofsolvable vertex models associated with SU(n) symmetry. A family of link polynomialsis obtained based on the Markov traces on the braid group representations. Thehierarchy includes both the Alexander-Conway polynomial and the Jones polynomialas special cases. The link polynomials are one-variable realizations of the HOMFLYpolynomial.[link polynomial, braid group, the Markov trace, the Yang-Baxter relation, ex- ]l actly solvable modelsI

• 社団法人日本物理学会の論文
• 1989-10-15

著者

• Deguchi Tetsuo

  Institute Of Physics College Of Arts And Science Universityof Tokyo

• Deguchi Tetsuo

  Institute Of Physics College Of Arts And Sciences University Of Tokyo

• DEGUCHI Tetsuo

  Institute of Physics,College of Arts and Sciences,University of Tokyo

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• Link Polynomials Constructed from Solvable Models in Statistical Mechanics
• Reply to Comments on "Exactly Solvable Models and New Link Polynomials"
• Exactly Solvable Models and New Link Polynomials.V.Yang-Baxter Operator and Braid-Monoid Algebra
• Exactly Solvable Models and New Link Polynomials.IV.IRF Models
• Exactly Solvable Models and New Link Polynomials.III.Two-Variable Topological Invariants
• Exactly Solvable Models and New Link Polynomials.II.Link Polynomials for Closed 3-Braids

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