On the excedance number of colored permutation groups

2005/05/20 by Eli Bagno, Bagno, Eli, David Garber +1
Mathematics · #05A15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.math/0505436

15 pages, no figures. submitted

arxiv created 2005/05/20 · arxiv updated 2009/12/01

Abstract

We generalize the results of Ksavrelof and Zeng about the multidistribution of the excedance number of S_n 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.

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