A Calabi-Yau algebra with $E_6$ symmetry and the Clebsch-Gordan series of $sl(3)$

N. Crampe, L. Poulain d'Andecy, L. Vinet

Building on classical invariant theory, it is observed that the polarised traces generate the centraliser $Z_L(sl(N))$ of the diagonal embedding of $U(sl(N))$ in $U(sl(N))^{\otimes…