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A quantum homogeneous space of a Hopf algebra is a right coideal subalgebra over which the Hopf algebra is faithfully flat. It is shown that the Auslander–Gorenstein property of a Hopf algebra is inherited by its quantum homogeneous spaces. If the quantum homogeneous space B of a pointed Hopf algebra H is AS-Gorenstein of dimension d, then B has a rigid dualizing complex Bν[d]. The Nakayama automorphism...
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