Geodesic
Root Systems for Two Dimensional Complex Reflection Groups
Séminaire lotharingien de combinatoire, Tome 45 (2000-2001)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

Root systems for all real reflection groups have been known for a long time. A. M. Cohen (1976) extended the idea of root systems to complex reflection groups: furthermore he explicitly presented root systems for all dimensions greater than two. Here, root systems are given for the two dimensional complex reflection groups which are generated by two reflections. 

@article{SLC_2000-2001_45_a4,
     author = {Mervyn C. Hughes and Alun O. Morris},
     title = {Root {Systems} for {Two} {Dimensional} {Complex} {Reflection} {Groups}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {45},
     year = {2000-2001},
     url = {http://geodesic.mathdoc.fr/item/SLC_2000-2001_45_a4/}
}
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Mervyn C. Hughes; Alun O. Morris. Root Systems for Two Dimensional Complex Reflection Groups. Séminaire lotharingien de combinatoire, Tome 45 (2000-2001). http://geodesic.mathdoc.fr/item/SLC_2000-2001_45_a4/