Séminaire Lotharingien de Combinatoire, B53f (2006), 17 pp.
Eli Bagno and David Garber
On the Excedance Number of Colored Permutation Groups
We generalize the results of Ksavrelof and Zeng about the
multidistribution of the excedance number of Sn with some
natural parameters to the colored permutation group and to the
Coxeter group of type D. We define two different orders on these
groups which induce two different excedance numbers. Surprisingly,
in the case of the colored permutation group, we get the same
generalized formulas for both orders.
Received: May 19, 2005.
Accepted: January 23, 2006.
Final Version: February 24, 2006.
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