The operator &^ represents the wedge product of differential forms.

Elementary simplifications are done on wedge products. For example, if a is a form of odd degree, then &^(a, a) is simplified to 0.

The operator &^ will distribute over + whenever possible. The preferred representation of &^ is a sum of wedge products. Otherwise, it may be necessary to apply expand, then simpform to an expression to reduce it to simplest form.