so(3) vector-rep Casimir: J_x²+J_y²+J_z² = -2·I

Layer 0 — Mathematicsin the lie-theory subtree

Exact symbolic verification that the quadratic Casimir operator J² = J_x² + J_y² + J_z² on the 3-dimensional real antisymmetric ('vector') representation of so(3) equals -2·I. The matrices are J_x = [[0,0,0],[0,0,-1],[0,1,0]], J_y =…

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