 $${\mathfrak{g}}{=}{\sum}_{{\mathpzc{p}}{=}{-}0}^0{\mathfrak{g}}_{{\mathpzc{p}}}, \;\;\text{with}\;\;   {\mathfrak{g}}_{{\mathpzc{p}}} =  \begin{cases}  \langle{\mathpzc{R}}_{\;{\mathpzc{p}}}\rangle ,\quad\text{for}\; {\mathpzc{p}}{=}\pm{0},{\pm}0,\\  {\mathfrak{h}}_0\oplus  \langle{\mathpzc{R}}_{\;0}\rangle\simeq