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 $t_{0}=\sum_{i}\frac{n}{n-1} E_{ii}\otimes E_{ii}-\sum_{i\neq j}\frac{1}{n}E_{ii}\otimes E_{jj}$
Daisy
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