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*graded*Algebra. In this instance we are talking about color Dirac spinors in space-time. It looks like the author is talking about \(\displaystyle \left ( SU(3) \otimes L^4 \otimes \mathbb{Z}_2 \otimes \mathbb{Z} _2 \right ) \otimes \mathbb{Z} _3\). ( SU(3) is the color group, \(\displaystyle L_4 \) is the Lorentz group, \(\displaystyle \mathbb{Z} _2 \otimes \mathbb{Z} _2\) is the Dirac 4-spinor group, and \(\displaystyle \mathbb{Z} _3\) is the usual group on 3 elements.

I can (mostly) follow the paper assuming the tensor products, but what do they mean by the word "graded?"

Thanks!

-Dan