Division Algebras Alone
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The octonion algebra, O, is generally developed as an extension of the quaternion algebra, Q. Let q i , i= 1,2,3, be a conventional basis for the hypercomplex quaternions. These elements associate, anticommute, and satisfy q i 2 = -1.
KeywordsAdjoint Representation Division Algebra Clifford Algebra Spinor Space Quaternion Algebra
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