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Excedance number for involutions in complex reflection groups

Eli Bagno, David Garber, Toufik Mansour

math.COarXiv:math/0612187

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 recurrence formulas and generating functions manipulations to obtain our results.

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