New posts in Exterior Algebra

Some questions about determinants

Is there a good (non-calculational) reason for the formula $|v \times w|^2 + (v \cdot w)^2 = (|v||w|)^2$?

If $\omega$ is a volume form, then $X\mapsto i_X\omega$ generates all $(n-1)$-forms

Simple computation with the $n$-form $dz_1\wedge...\wedge dz_n$ in $\mathbb{C}^n$

Does existence of a parallel section on $E$ imply local existence of a parallel section on $\bigwedge^k E$?

The Plucker relations are sufficient

Relationship between tensor product and wedge product

Is it true that every element of $V \otimes W$ is a simple tensor $v \otimes w$?

Exterior power "commutes" with direct sum

Why is the exterior derivative called exterior derivative