Scale derivative versus dilation defect at every grade (work package B)

(imported unchanged). XVI-L, Definition def:RLmu: ${\varpi }_{\mu }(z)=\varpi (\lambda z)$, $\lambda =\mu /{\mu }_0$, ${M^{(\rho ,\mu )}}_{\beta \alpha }={\partial }^{\beta }(z^{\alpha }{\varpi }_{\mu }/\alpha !)(0)$, ${w^{(\rho ,\mu )}}_{\alpha }={\sum }_{\gamma }((M^{(\rho ,\mu )}{)}^{-1}{)}_{\gamma \alpha }{z}^{\gamma }{\varpi }_{\mu }/\gamma !$, $⟨{\mathfrak{R}}_{\mathrm{L},\mu }(u),\phi ⟩=⟨u,{W^{(\mu )}}_{\rho }\phi ⟩$, $\rho =N$. $A_{\mu }(u)=\mu {\mathrm{d}}_{\mu }{\mathfrak{R}}_{\mathrm{L},\mu }(u)$; ${\mathcal{A}}_{\mu }(u)=(E+4+N){\mathfrak{R}}_{\mathrm{L},\mu }(u)$ with $E=z^{\rho }{\partial }_{\rho }$ and $⟨ET,\phi ⟩=-⟨T,(E+4)\phi ⟩$, so $⟨{\mathcal{A}}_{\mu }(u),\phi ⟩=⟨{\mathfrak{R}}_{\mathrm{L},\mu }(u),(N-E)\phi ⟩$; $B_{\mu }=A_{\mu }-{\mathcal{A}}_{\mu }$. Contacts: $T={\sum }_{\gamma }{t}_{\gamma }{\partial }_{\gamma }\delta$, $⟨{\partial }_{\gamma }\delta ,\phi ⟩=(-1{)}^{|\gamma |}{\partial }^{\gamma }\phi (0)$, $t_{\gamma }=(-1{)}^{|\gamma |}⟨T,w_{\gamma }⟩$; these are the coordinates $C_{N,b,\gamma }$ of ${\mathcal{C}}_{\mathrm{coh}}$.