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Question: Forms with anticommutative functions

Question:Forms with anticommutative functions

Jose Carlos Brunelli 10 Maple
differential-geometry anticommutative physics
February 04 2017
2

Is there a way to define forms with anticommuting functions? I've tried without success:

> with(Physics):
> Setup(anticommutativeprefix={alpha,beta}):
> with(DifferentialGeometry):
> DGsetup([x, t], M):
> (alpha*dx+beta*dt) &wedge (alpha*dx+beta*dt);

                             (0 dx) ^ dt

> (f*dx+g*dt) &wedge (f*dx-g*dt);

                           -(2 f g dx) ^ dt

 

Thanks. Jose Carlos
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