Finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$-modules from the equitable point of view (1303.6134v1)

Abstract: 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.