Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages

Scientific paper

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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