Universal Grassmannian (introduction and continuation) - Christian Autenried

We shall define some dense submanifolds of the Universal Grassmannian and consider their properties. Then we shall study the stratification that gives us better understanding of the structure of the Grassmannian. The next step is to define the Pluecker coordinates and the embedding of the Grassmanian into projective space L². Finally we shall see how the rotation group acts on Grassmannian and how this action is related to the stratification structure.