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Symmetric Powers of Nat 𝔰𝔩2(𝕂) |
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| Authors: | Adrien Deloro |
| Affiliation: | 1. Institut de Mathématiques de Jussieu, Université Paris, Paris, Franceadrien.deloro@imj-prg.fr |
| Abstract: | We identify the spaces of homogeneous polynomials in two variables 𝕂[Yk, XYk?1, ?, Xk] among representations of the Lie ring 𝔰𝔩2(𝕂). This amounts to constructing a compatible 𝕂-linear structure on some abstract 𝔰𝔩2(𝕂)-modules, where 𝔰𝔩2(𝕂) is viewed as a Lie ring. |
| Keywords: | Lie ring sl(2,K) Lie ring representation |