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arivero
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Given a representation of a Lie Group, is there a equivalence between possible electric charges and projections of the roots? For instance, in the standard model Q is a sum of hypercharge Y plus SU(2) charge T, but both Y and T are projectors in root space, and so a linear combination is. But I am not sure if this is a general fact for any representation of any lie algebra.
If it is so, do computer algebra programs have specific functions to search for all the possible different projections? I guess, the thing that Lisi et al "elementary particle explorer" did visually, but in an automated way.
If it is so, do computer algebra programs have specific functions to search for all the possible different projections? I guess, the thing that Lisi et al "elementary particle explorer" did visually, but in an automated way.