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

• Deguchi Tetsuo

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

書誌事項

タイトル別名

• Braid Group Representations and Link Polynomials Derived from Generalized <I>SU</I>(<I>n</I>) Vertex Models
• Braid Group Representations and Link Po

抄録

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (10), 3441-3444, 1989

  一般社団法人 日本物理学会

キーワード

• link polynomial
• braid group
• the Markov trace
• the Yang-Baxter relation
• exactly solvable models

詳細情報

• CRID: 1390001204185916672
• NII論文ID: 110001968629
• NII論文ID: 210000094874
• NII論文ID: 130003900006
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.58.3441
• BIBCODE: 1989JPSJ...58.3441D
• ISSN: 13474073
• ISSN: 00319015
• MRID: 1034395
• NDL書誌ID: 3253859
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3253859
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.58.3441
• 本文言語コード: en
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