| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4656339 | Journal of Combinatorial Theory, Series A | 2007 | 13 Pages |
Abstract
Let Δ be a thick building of type Xn=Cn,Dn. Let also Gk be the Grassmannian of k-dimensional singular subspaces of the associated polar space Π (of rank n). We write Gk for the corresponding shadow space of type Xn,k. Every bijective transformation of Gk which maps base subsets to base subsets (the shadows of apartments) is a collineation of Gk, and it is induced by a collineation of Π if n≠4 or k≠1.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
