For quantum SU(2), Woronowicz gave a well differential calculus. If we denote the generators of quantum SU(2) by a,b,c,d, then the ideal of ker(epsilon) corresponding to this calculus is
<a+q2d−(1+q2),b2,c2,bc,(a−1)b,(d−1)c>.
This calculus can be shown to generalise the classical calculus on SU(2) when q=1. Does anyone know of a (good) calculus (and its ideal) for quantum SU(3)?
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