Classification of finite dimensional uniserial representations of conformal Galilei algebras

Fernando Szechtman; Leandro Cagliero; Luis Guti\'errez Frez

arxiv: 1606.06322 · v2 · pith:PEXCTNANnew · submitted 2016-06-20 · 🧮 math.RT · math-ph· math.MP

Classification of finite dimensional uniserial representations of conformal Galilei algebras

Leandro Cagliero , Luis Guti\'errez Frez , Fernando Szechtman This is my paper

classification 🧮 math.RT math-phmath.MP

keywords mathfrakuniserialalgebraalgebrasclassificationclassifyconformaldimension

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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 $2n+1$.

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Classification of finite dimensional uniserial representations of conformal Galilei algebras

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