A Complex Qutrit Inside an Octonionic One

john (baez@math.ucr.edu)
A Complex Qutrit Inside an Octonionic One Posted by John Baez Dubois-Violette and Todorov noticed that the Standard Model gauge group is the intersection of two maximal subgroups of . I’m trying to understand these subgroups better. Very roughly speaking, is the symmetry group of an octonionic qutrit. Of the two subgroups I’m talking about, one preserves a chosen octonionic qubit, while the other preserves a chosen complex qutrit. A precise statement is here: Over on Mathstodon I’m working with.