 Norm form

For a finite number field $L/\mathbb{Q}$ with a rational basis ${\omega }_1,\dots ,{\omega }_n$, the norm form is the homogeneous polynomial

"Norm form" can refer to different concepts depending on the context, such as mathematics, particularly in linear algebra and functional analysis, or abstract algebra. Here are a couple of interpretations: 1. **Norm in Linear Algebra**: In the context of linear algebra, a norm represents a function that assigns a non-negative length or size to vectors in a vector space.