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The Lusztig automorphism of $U_q(\mathfrak{sl}_2)$ from the equitable point of view

Published 29 Sep 2015 in math.QA | (1509.08956v2)

Abstract: 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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