Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras
classification
✦ hep-th
keywords
algebraalgebrasequationlinkoperatorsyang-baxterassociativitybuild
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We show that the Yang-Baxter equation is equivalent to the associativity of the algebra generated by non-commuting link operators. Starting from these link operators we build out the (FFZ) algebras, the $s\ell_q (2)$ is derived by considering a special combination of the generators of (FFZ) algebra.
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