Casimir element
= Casimir element
{c}
{wiki}
The quadratic Casimir element is a central element of $U(\mathfrak g)$. On a highest-weight module of highest weight $\lambda$, one standard normalization makes it act by $|\lambda+\rho|^2-|\rho|^2$.
= Casimir element
{c}
{wiki}
The quadratic Casimir element is a central element of $U(\mathfrak g)$. On a highest-weight module of highest weight $\lambda$, one standard normalization makes it act by $|\lambda+\rho|^2-|\rho|^2$.