Value of W g , R {\displaystyle W_{{\mathfrak {g}},R}} on I H X {\displaystyle {\mathcal {IHX}}} .
Compution for I {\displaystyle {\mathcal {I}}}
on 
.
![{\displaystyle {\begin{aligned}W_{{\mathfrak {g}},R}({\mathcal {I}})&=f_{ecd}f_{abe^{\prime }}t^{ee^{\prime }}\\&=\langle [X_{e},X_{c}],X_{d}\rangle \langle [X_{a},X_{b}],X_{e}^{\prime }\rangle =f_{ec}^{s}t_{sd}f_{ab}^{k}t_{ke^{\prime }}t^{ee^{\prime }}\\&=f_{ec}^{s}t_{sd}f_{ab}^{k}\delta _{k}^{e}\\&=f_{ec}^{s}f_{ab}^{e}t_{sd}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/94807c985059a942dacdb1ecc8347935aca52792)
