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Graphs, defined by Weyl distance or incidence, that determine a vector space

Authors
  • De Schepper, Anneleen
  • Van Maldeghem, Hendrik1, 2
  • 1 Department of Mathematics
  • 2 Ghent University
Type
Published Article
Journal
Linear Algebra and its Applications
Publisher
Elsevier
Publication Date
Jan 01, 2014
Accepted Date
Feb 08, 2014
Volume
449
Pages
435–464
Identifiers
DOI: 10.1016/j.laa.2014.02.014
Source
Elsevier
Keywords
License
Unknown

Abstract

We study to which extent the family of pairs of subspaces of a vector space related to each other via intersection properties determines the vector space. In another language, we study to which extent the family of vertices of the building of a projective space related to each other via several natural respective conditions involving the Weyl distance and incidence determines the building. These results can be seen as generalizations of and variations on the Fundamental Theorem of Projective Geometry.

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