Exterior algebra
= Exterior algebra
{wiki=Exterior_algebra}
Exterior algebra is a mathematical framework used primarily in the fields of linear algebra, differential geometry, and algebraic topology. It provides a way to construct and manipulate multi-linear forms and generalized notions of vectors in a vector space. The key components of exterior algebra are: 1. **Vector Spaces**: Exterior algebra begins with a vector space \\( V \\) over a field (usually the real or complex numbers).