Alternating multilinear map
= Alternating multilinear map
{wiki=Alternating_multilinear_map}
An alternating multilinear map is a special type of multilinear function that takes several input arguments from a vector space and has the property of being alternating. Here's a more detailed breakdown of what this means: 1. **Multilinear Map**: A function \\( f: V_1 \\times V_2 \\times \\ldots \\times V_n \\to W \\) is called multilinear if it is linear in each of its \\( n \\) arguments.