For parameters of order at least 3, every linear inner faithful action of a generalized Taft algebra on a quantum affine space is a trivial extension of an action on a quantum plane or 3-space, and bosonization rank is at most 2(t−1), with analogous bounds on quantum matrix algebras.
Discriminant s of Taft Algebra Smash Products and Applications
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Actions of quantum linear spaces on quantum algebras
For parameters of order at least 3, every linear inner faithful action of a generalized Taft algebra on a quantum affine space is a trivial extension of an action on a quantum plane or 3-space, and bosonization rank is at most 2(t−1), with analogous bounds on quantum matrix algebras.