In an exterior algebra 
, a top-dimensional form has degree 
where 
. Any form of higher degree must be zero. For example,
if 
then
 |
is a top-dimensional form, and any other top-dimensional form is 
for some 
.
Top-Dimensional Form
See also
Differential k-Form, Exterior Algebra, Vector Space Orientation, Volume FormThis entry contributed by Todd Rowland
Explore with Wolfram|Alpha
Cite this as:
Rowland, Todd. "Top-Dimensional Form." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Top-DimensionalForm.html