The Plücker coordinates of a 
-dimensional subspace 
of an 
-dimensional vector space are
the 
minors 
of a matrix whose rows span 
. They are homogeneous
coordinates, so multiplying all 
by the same nonzero scalar gives the same point of projective
space.
These coordinates define the Plücker embedding of the Grassmannian. Their image is characterized by the quadratic Plücker relations. Plücker coordinates are also called Grassmann coordinates.
