Daily Archives: August 16, 2007

Precolor and Primitive Idempotents

An idempotent is an element of an algebra that is unchanged when it is squared, \rho^2 = \rho . In an algebra, the “primitive” idempotents are those that cannot be written as sums of nonzero idempotents. In a sense, these are like primes. In the density matrix formulation of quantum mechanics, the particle states are primitive idempotents.
Fermions of 1st generation graphed according to weak hypercharge and isospin
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