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  7. A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane

A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane

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Authors: Fukui, TetsuoSekiguchi, Jiro
Issue Date: 2007
Citation: Serdica Journal of Computing, Vol. 1, No 4, (2007), 403p-424p Copy to clipboard
ISSN: 1312-6555
URI: http://hdl.handle.net/10525/354 Copy to clipboard
Note:

The paper has been presented at the 12th International Conference on Applications of

Computer Algebra, Varna, Bulgaria, June, 2006.

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.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Weyl GroupRoot System Of Type E8Real Projective PlaneSimple Eight-line ArrangementClassification Of Arrangement
Type: Article