Adjacency preserving mappings of invariant subspaces of a null system
Authors:
Wen-ling Huang
Affiliation:
Mathematisches Seminar, Universität Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany
Abstract:
In the space of invariant -dimensional subspaces of a null system in -dimensional projective space, W.L. Chow characterized the basic group of transformations as all the bijections , for which both and preserve adjacency. In the present paper we show that the two conditions is a surjection and preserves adjacency are sufficient to characterize the basic group. At the end of this paper we give an application to Lie geometry.