It was completely foreign to their way of thinking.

A government headed toward a dictatorship would be expected to be both antilabor and antimanagement.

A primitive element of a Hopf algebra is an element h∈H such that 𝛥h=1⊗h+h⊗1. It is easily seen that the bracket [x,y]:=xy-yx of two primitive elements is again a primitive element. It follows that primitive elements form a Lie algebra. For H=U(g) any element of g is primitive and in fact using the Poincaré-Birkhoff-Win theorem, one can show that the set of primitive elements of U(g) coincides with the Lie algebra g.

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