1.7. YANG-BAXTER EQUATION 23 which is related to Ising theory. There is also a 9 × 9 unitary solution, which is related to the Jones representation at a 6th root of unity: R = 1 3 ⎜0 ⎜0 ⎜0 ⎜w ⎜0 ⎜0 ⎝0 w 0 0 0 1 0 0 0 w w 0 0 0 w 1 0 0⎟ 0 w w2 0 0 0 w2 0⎟ 0 w2 w 0 0 0 w2 0⎟ 0 0 0 w 0 0 0 1⎟⎟ 1 0 0 0 w w 0 0⎟⎟ w 0 0 0 1 w 0 0⎟⎟ 0 w2 w2 0 0 0 w 0⎠ 1 0 0 0 w 0 0 0 w where w = e±2πi/3 [RW].
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