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The coordinate ring Formula: see text of quantum affine space is the Formula: see text-algebra presented by generators Formula: see text, Formula: see text, Formula: see text and relations Formula: see text for all Formula: see text, Formula: see text. We construct simple Formula: see text-modules in a more general setting where the parameters Formula: see text lie in a torsion subgroup of Formula: see text and show that analogous results hold as in the uniparameter case.
Mukherjee et al. (Mon,) studied this question.