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Ifq is apth root of unity there exists a quasi-coassociative truncated quantum group algebra whose indecomposable representations are the physical representations ofUq(sl2), whose coproduct yields the truncated tensor product of physical representations ofUq(sl2), and whoseR-matrix satisfies quasi-Yang Baxter equations. These truncated quantum group algebras are examples of weak quasitriangular quasi-Hopf algebras (“quasi-quantum group algebras”

Action of truncated quantum groups on quasi-quantum planes and a quasi-associative differential geometry and calculus