Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/354

 Title: A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane Authors: Fukui, TetsuoSekiguchi, Jiro Keywords: Weyl GroupRoot System Of Type E8Real Projective PlaneSimple Eight-line ArrangementClassification 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. URI: http://hdl.handle.net/10525/354 ISSN: 1312-6555 Appears in Collections: Volume 1 Number 4

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