antivectoriel
Antivectoriel is a term used in French-language mathematics and physics to describe objects that are in some sense opposite to or dual of vectors. It is not a fixed or universally standardized notion; its precise meaning depends on the context and author. In general, antivectorial objects are those that transform contragrediently to ordinary vectors under a linear change of coordinates, or that play the role of duals in a given pairing.
In linear algebra, the most common antivectorial counterpart is the covector (one-form), an element of the dual
In geometry and physics, related concepts include pseudovectors (axial vectors), which transform with the determinant of
Because antivectoriel is not a standard technical term, precise usage is found in field-specific texts. When
See also: vector, covector, dual space, exterior algebra, differential form, pseudovector, orientation.