Séminaire Lotharingien de Combinatoire, B45e (2001), 18 pp.

Mervyn C. Hughes and Alun O. Morris

Root Systems for Two Dimensional Complex Reflection Groups

Abstract. 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.

Received: February 28, 2001; Accepted: March 7, 2001.

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