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We identify the spaces of homogeneous polynomials in two variables K[Y^k,XY^{k-1}, ..., X^k] among representations of the Lie ring sl(2,K). This amountsto constructing a compatible K-linear structure on some abstractsl(2,K)-modules, where sl(2,K) is viewed as a Lie ring.

Ver\"anderungen \"uber einen Satz von Timmesfeld - II. Symmetric powers of Nat sl(2,K)