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The entry Clifford algebra used to state the classification and Bott periodicty over the complex numbers, but not over the real numbers. I have added in now the relevant statements, straight from Lawson-Michelson:
Just the bare statements so far.
have added these two pointers:
Robert A. Wilson, A group-theoristâ€™s perspective on symmetry groups in physics (arXiv:2009.14613)
Robert A. Wilson, On the Problem of Choosing Subgroups of Clifford Algebras for Applications in Fundamental Physics, Adv. Appl. Clifford Algebras 31, 59 (2021) (doi:10.1007/s00006-021-01160-5)
Will also add these to standard model of particle physics.
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