Exactly Solvable Models and New Link Polynomials. 5. {Yang-Baxter} Operator and Braid Monoid Algebra - INSPIRE

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Exactly Solvable Models and New Link Polynomials. 5. {Yang-Baxter} Operator and Braid Monoid Algebra

Feb 5, 1988

70 pages

Published in:

J.Phys.Soc.Jap. 57 (1988) 1905-1923

DOI:

10.1143/JPSJ.57.1905

Report number:

Print-88-0103 (TOKYO U.,KOMABA)

View in:

AMS MathSciNet

reference search48 citations

Citations per year

statistical mechanics
integrability
knot theory: Jones polynomial
Yang-Baxter equation
operator: composite
S-matrix: factorization
algebra: Temperley-Lieb
braid group: representation

References(15)

Figures(0)

Knot invariants and the critical statistical systems

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Exactly Solvable Models and New Link Polynomials. 1. $N$ State Vertex Models

Yasuhiro Akutsu
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Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem

H.N.V. Temperley
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Graphical Approach to the Nonintersecting String Model: Star Triangle Equation, Inversion Relation and Exact Solution

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- Topology 26 395