Half-whole Dimensions in Quaternionic Quantum Mechanics
classification
✦ hep-th
keywords
quaternionicdimensionshalf-wholealgebrasallowsdimensionalitydiracduffin-kemmer-petiau
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We introduce {\em half-whole} dimensions for quaternionic matrices and propose a quaternionic version of the Frobenius-Schur theorem which allows us to obtain the proper quaternionic dimensionality for the representations of the Dirac and Duffin-Kemmer-Petiau (DKP) algebras.
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