Weyl Group Root System Of Type E8 Real Projective Plane Simple Eight-line Arrangement Classification Of Arrangement
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Journal of Computing, Vol. 1, No 4, (2007), 403p-424p
The Weyl group W(E8) acts on the con guration space of
systems of labelled eight lines on a real projective plane. With a system of
eight lines with a certain condition, a diagram consisting of ten roots of the
root system of type E8 is associated. We have already shown the existence
of a W(E8)-equivariant map of the totality of such diagrams to the set of
systems of labelled eight lines. The purpose of this paper is to report that
the map is injective.
The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006.