Starting from one triality symbol, the authors build the two-triality Lie algebra, verify the Jacobi identity, and match it to the magic square while linking low-dimensional cases to quadratic forms and Bhargava cubes.
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Triality and the Magic Square of Hans Freudenthal
Starting from one triality symbol, the authors build the two-triality Lie algebra, verify the Jacobi identity, and match it to the magic square while linking low-dimensional cases to quadratic forms and Bhargava cubes.