"Frobenius' Theorem. Over the real number field there exist precisely three associative s, namely the real numbers, the complex numbers, and the real quaternions."
— Quaternion

January 1, 1970

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MathematicsPhysics
Original Language: English

Sources

, J. reine u. agnew, Math 84, 59 (1878), Leonard Eugene Dickson, Linear Algebras (1914), as quoted in Freeman Dyson, "The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics." (Nov-Dec 1962) Journal of Mathematical Physics, Vol. 3, No. 6, pp. 1199-1215.