Three locked conventions

locked conventions{ Inverse: ${G_{\gamma }}^{\mathrm{R}}=-\mathsf{P}{E_0}^{\mathrm{R}}$. A coefficient-$-4$ inverse belongs to a different normalization.

Polarization: for a homogeneous quadratic map $J$, the half-polarization $J(G,h)=\frac{1}{2}(J[G+h]-J[G]-J[h])$ satisfies $DJ[G]h=2J(G,h)$. The source and density maps below use the mixed derivative.

Components: the algebraic dual already handles symmetric components. No additional $1,2$ diagonal/off-diagonal rule may be inserted without a derived change of convention.}