{"id":"palomar/PALOMAR-2026-09-30-000035","url":"https://github.com/stalex444/pdt-metric-pfaffian-hodge-stabilizers/tree/0e436b9e3468e0393641d42fd37dfc9e3520ffbf","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-09-30-000035-v1.json","repo":"https://github.com/stalex444/pdt-metric-pfaffian-hodge-stabilizers","tags":["math.RT","msc:15A72","msc:15A04","lie-algebras","representation-theory","invariant-theory"],"score":0,"title":"Metric–Pfaffian Stabilizers and Fixed-Hodge Field Recovery","trust":"high","domain":"math.RT","source":"palomar","authors":["Stephanie Alexander"],"reviews":0,"subject":"math.RT","summary":"For the explicit bivector metric induced by diag(1,1,1,-1,1,-1) and the Pfaffian cubic on fifteen real coordinates, the joint infinitesimal stabilizer is exactly the uniquely parameterized fifteen-dimensional orthogonal adjoint span. Under the metric condition, ninety specified cubic derivative checks certify preservation at every point. Within the joint stabilizer, commutation with a displayed local Lorentz Hodge operator is equivalent to annihilating its complementary reference and yields a unique six-plus-one decomposition, of dimension seven. Within this fixed-Hodge space, exactly the…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-09-30","reactions":{},"formalized":true}