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arxiv: 1509.08956 · v2 · pith:AJK5W2C7new · submitted 2015-09-29 · 🧮 math.QA

The Lusztig automorphism of U_q(mathfrak{sl}₂) from the equitable point of view

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keywords lusztigautomorphismequitablemathfrakpointviewalgebraconsider
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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.

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