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Title: A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane
Authors: Fukui, Tetsuo
Sekiguchi, Jiro
Keywords: Weyl Group
Root System Of Type E8
Real Projective Plane
Simple Eight-line Arrangement
Classification Of Arrangement
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Journal of Computing, Vol. 1, No 4, (2007), 403p-424p
Abstract: 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.
Description: The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.
ISSN: 1312-6555
Appears in Collections:Volume 1 Number 4

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