Classification of finite dimensional uniserial representations of conformal Galilei algebras

Abstract

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 dimension $2n+1$.

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Cited by in corpus (1)

• Tensor products and intertwining operators between two uniserial representations of the Galilean Lie algebra $\mathfrak{sl}(2)⋉{\mathfrak{h}}_n$