Tensor products and intertwining operators for uniserial representations of the Lie algebra $\mathfrak{sl}(2)⋉V(m)$

Leandro Cagliero, Iván Gómez Rivera

Let ${\mathfrak{g}}_m=\mathfrak{sl}(2)⋉V(m)$, $m\ge 1$, where $V(m)$ is the irreducible $\mathfrak{sl}(2)$-module of dimension $m+1$ viewed as an abelian Lie algebra. It is kn…