The Lusztig automorphism of \(U_q(\mathfrak{sl}_2)\) from the equitable point of view. (English) Zbl 1386.17019
Summary: We consider the quantum algebra \(U_q(\mathfrak{sl}_2)\) in the equitable presentation. From this point of view, we describe the Lusztig automorphism and the corresponding Lusztig operator.
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
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