 Classification of finite-dimensional sl2 representations (source code)

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= Classification of finite-dimensional sl2 representations
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For every $n\geq0$ there is one irreducible $\mathfrak{sl}_2(\mathbb C)$-module $V(n)$ of dimension $n+1$, with weights $n,n-2,\ldots,-n$, each of multiplicity one. Every finite-dimensional representation is a direct sum of these modules.

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