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

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.

47 pages

References in corpus (3)

• The quantum algebra $U_q(s{l}_2)$ and its equitable presentation
• Dual polar graphs, the quantum algebra U_q(sl_2), and Leonard systems of dual q-Krawtchouk type
• $q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra