Séminaire Lotharingien de Combinatoire, B56d (2007), 11 pp.

Eli Bagno, David Garber and Toufik Mansour

Excedance Number for Involutions in Complex Reflection Groups

Abstract. We define the excedance number on the complex reflection groups and compute its multidistribution with the number of fixed points on the set of involutions in these groups. We use some recurrences and generating function manipulations to obtain our results.

Received: September 10, 2006. Accepted: December 27, 2007. Final Version: December 31, 2007.

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