For three-block IRF models the Yang-Baxter equation is shown equivalent to a weak BMW algebra; for four blocks a new conjectured BMW-type algebra is proposed and checked on G2 and SU(2) models.
Kuperberg, The 1,0,1,1,4,10 Ansatz, Berkley preprint (1991)
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The 4--CB Algebra and Solvable Lattice Models
For three-block IRF models the Yang-Baxter equation is shown equivalent to a weak BMW algebra; for four blocks a new conjectured BMW-type algebra is proposed and checked on G2 and SU(2) models.