An O(L^3) algorithm computes contracted Clebsch-Gordan tensor products for equivariant ML potentials using a structured angular grid and spherical Poisson bracket to handle parity-odd terms at fixed CP rank.
The surface-curl construction Eq.(57) uses only point- wise vector operations and is basis-independent, with∂ ϕ acting onq vm as a real derivative ( √ 2 cos(mϕ)↔ −m √ 2 sin(mϕ))
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Fast contracted Clebsch--Gordan tensor products for equivariant graph neural networks
An O(L^3) algorithm computes contracted Clebsch-Gordan tensor products for equivariant ML potentials using a structured angular grid and spherical Poisson bracket to handle parity-odd terms at fixed CP rank.