[contravariant]

Interesting. Yeah it's nothing too important it's just that I've only ever seen physicists use Grassman numbers, whereas mathematicians tend to work with the exterior algebra directly (which works in much the same way except the wedge operator is used explicitly, IMHO this makes things clearer).

[DreamScatter]

Grassmann algebra and exterior algebra are the same thing, regardless of whether a mathematician or physicist uses them.

[contravariant]

Sure, but the Grassman numbers are a bit of an odd model of Grassman algebra with its own notation. They live in some anonymous vector space that is effectively defined in terms of the Grassman numbers, whereas mathematicians usually have some vector space they're interested in and construct an exterior algebra from its elements. The differences are minor but they're two clearly distinct approaches.

Like I said it's nothing terribly important but it's still an interesting difference.

[deltasquared]

I agree, the subtle difference between the physics and math mindset is interesting. I wound up on the sidelines as a computer scientist who worked in a physics lab.