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Results tagged with yang-baxter-equations
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user 83928
In the classical equation, one looks for $R\in\Lambda^2\mathfrak g$ such that $$[R,R]=0,$$ where the bracket is Schouten's bracker in $\Lambda^\bullet\mathfrak g$, the exterior algebra on a Lie algebra $\mathfrak g$. In the quantum one (in its non-parametric form...), one looks for endomorphisms $R:V\otimes V\to V\otimes V$ of tensor squares of vector spaces $V$ such that $$R_{12} \ R_{13} \ R_{23} = R_{23} \ R_{13} \ R_{12},$$
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How to compute $t_0$ and $r^0$ in Belavin-Drinfeld's classification of solutions of classica...
In the book, a guide to quantum groups. I find a mistake,
the $H_{\alpha}$ should be defined $H_{\alpha}=E_{11}-E_{22}$.
The Casimir element
$t_{0}=\sum_{i}\frac{n}{n-1} E_{ii}\otimes E_{ii}-\sum …
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