Local Hodge generation of sl(15) and scalar response rigidity
An explicit local Hodge operator on the oriented coordinate four-plane 0123, extended by zero, together with the fifteen adjoint basis actions of the orthogonal algebra for diag(1,1,1,-1,1,-1), generates sl(15,K) over every field of characteristic different from two. A finite integral commutator certificate produces signed skew matrix units and one symmetric seed; a general propagation lemma then produces all trace-free matrices. Dimension 224 follows from generation. As a consequence, an endomorphism of this algebra commuting with the commutator actions of the same sixteen generators is…
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