Abstract

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.

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