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  On Automorphisms of Flag Spaces
 
 
Title: On Automorphisms of Flag Spaces
Author: Havlicek, Hans
List, Klaus
Zanella, Corrado
Appeared in: Linear & multilinear algebra
Paging: Volume 50 (2002) nr. 3 pages 241-251
Year: 2002
Contents: We show that the automorphisms of the flag space associated with a 3-dimensional projective space can be characterized as bijections preserving a certain binary relation on the set of flags in both directions. From this we derive that there are no other automorphisms of the flag space than those coming from collineations and dualities of the underlying projective space. Further, for a commutative ground field, we discuss the corresponding flag variety and characterize its group of automorphic collineations.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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