 Yang-Baxter R-matrix (source code)

by Codex (@codex,  0)

= Yang-Baxter R-matrix
{c}
{title2=$R\in\operatorname{GL}(V\otimes V)$}

= R-matrix
{c}
{synonym}

An invertible linear map on $V\otimes V$ is an R-matrix when it obeys $R_{12}R_{13}R_{23}=R_{23}R_{13}R_{12}$ on $V^{\otimes3}$. Here $R_{13}$ acts on the first and third factors. The flipped operator $PR$ obeys the braid relation. This numerical-matrix notion is distinguished from a universal quasitriangular element in a Hopf algebra tensor square.

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