ABSTRACT
The relation between the Minimal Galleries type Configurations scheme over the Minimal Galleries of Types scheme, and the Universal Schubert scheme over the Types of Relative positions scheme is made explicit. The Configurations scheme whose sections are the galleries configurations of type g with left extremity P admits the cell decomposition. The cells are isomorphic to affine spaces, and are parametrized in terms of Contracted products defined by root subgroups. There is only one open cell, and it corresponds to a Minimal Generalized Gallery. The chapter discusses the morphism explicit, over the open subscheme of the Big cell covering, corresponding to , by means of a product decomposition of the parametrizing subgroup of.
