Daily Archives: September 20, 2007

Primitive Idempotents and Generations

In the previous post, we looked at long term bound snuark states, came up with three coupled quadratic equations in complex numbers I, J, and K:
Quadratic equations for I, J, and K as functions of I, J, and K

noted that these equations are equivalent to a matrix idempotency equation:
Cyclic 3x3 matrix idempotency equation

wrote down the eight solutions:
Eight solutions to the coupled quadratic equations

and promised to interpret them in the next (this) post. Okay.
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