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

Fukui, Tetsuo, and Sekiguchi, Jiro. "A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane." Serdica Journal of Computing 1.4 (2007): 403-424. <http://eudml.org/doc/11433>.

@article{Fukui2007,
abstract = {The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.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.},
author = {Fukui, Tetsuo, Sekiguchi, Jiro},
journal = {Serdica Journal of Computing},
keywords = {Weyl Group; Root System Of Type E8; Real Projective Plane; Simple Eight-line Arrangement; Classification Of Arrangement; root system of type ; simple eight-line arrangement; classification of arrangement},
language = {eng},
number = {4},
pages = {403-424},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane},
url = {http://eudml.org/doc/11433},
volume = {1},
year = {2007},
}

TY - JOUR
AU - Fukui, Tetsuo
AU - Sekiguchi, Jiro
TI - A Relation between the Weyl Group W(e8) and Eight-Line Arrangements on a Real Projective Plane
JO - Serdica Journal of Computing
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 1
IS - 4
SP - 403
EP - 424
AB - The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.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.
LA - eng
KW - Weyl Group; Root System Of Type E8; Real Projective Plane; Simple Eight-line Arrangement; Classification Of Arrangement; root system of type ; simple eight-line arrangement; classification of arrangement
UR - http://eudml.org/doc/11433
ER -