Standard Model Symmetries and the Nested Embeddings of $\mathbb{R}\subset \mathbb{C}\subset \mathbb{H}\subset \mathbb{O}$

N. Furey

Where do the Standard Model's internal symmetries come from? Treating $\mathbb{O}\oplus \mathbb{H}\oplus \mathbb{C}\oplus \mathbb{R}$ as a module for its own multiplication algebra en…