Veränderungen über einen Satz von Timmesfeld - II. Symmetric powers of Nat sl(2,K)

Adrien Deloro (1)

1 IMJ - Institut de Mathématiques de Jussieu

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 amounts to constructing a compatible K-linear structure on some abstract sl(2,K)-modules, where sl(2,K) is viewed as a Lie ring.

Mots clés: Lie ring sl(2; K); Lie ring representation

Domaines: Anneaux et algèbres [math.RA]

Adrien Deloro. Veränderungen über einen Satz von Timmesfeld - II. Symmetric powers of Nat sl(2,K). 2013. ⟨hal-00840201v1⟩