Classification of finite dimensional uniserial representations of conformal Galilei algebras

Leandro Cagliero, Luis Gutiérrez Frez, Fernando Szechtman

With the aid of the $6j$-symbol, we classify all uniserial modules of $\mathfrak{sl}(2)⋉{\mathfrak{h}}_n$, where ${\mathfrak{h}}_n$ is the Heisenberg Lie algebra of dimensio…