Finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$ -modules from the equitable point of view

preprint2013arXivOpen access

We consider the quantum algebra $U_q(\mathfrak{sl}_2)$ with $q$ not a root of unity. We describe the finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$ -modules from the point of view of the equitable presentation.

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Finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$ -modules from the equitable point of view

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Finite-dimensional irreducible Uq(sl2)U_q(\mathfrak{sl}_2)Uq​(sl2​)-modules from the equitable point of view

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Finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$ -modules from the equitable point of view