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Ore extensions of quasitriangular Hopf algebras. (Chinese. English summary) Zbl 1224.16068

Summary: Ore extensions of quasitriangular Hopf algebras are considered. Necessary and sufficient conditions for the Ore extensions of quasitriangular Hopf algebras to be quasitriangular with the same \(R\)-structures are also given. Finally, as an application, the Ore extensions of Sweedler’s Hopf algebra and Lusztig’s small quantum group are discussed.

MSC:

16T05 Hopf algebras and their applications
17B37 Quantum groups (quantized enveloping algebras) and related deformations
16S36 Ordinary and skew polynomial rings and semigroup rings
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