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Quantum (co)modules for dual quantum groups. (English) Zbl 0923.17016

Let \(A\) and \(U\) be dual Hopf algebras. The authors illustrate the passage from \(*\)-comodules (resp. \(*\)-comodule algebras) over \(A\) to \(*\)-modules (resp. \(*\)-module algebras) over \(U\) with explicit computations in the case \(A= \mathbb{C}_q[su(2)]\), \(U= U_q(su(2))\).

MSC:

17B37 Quantum groups (quantized enveloping algebras) and related deformations
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
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