Classification of finite dimensional uniserial representations of conformal Galilei algebras (1606.06322v2)

Abstract: With the aid of the $6j$-symbol, we classify all uniserial modules of $\mathfrak{sl}(2)\ltimes \mathfrak{h}{n}$, where $\mathfrak{h}{n}$ is the Heisenberg Lie algebra of dimension $2n+1$.