Excedance Number for Involutions in Complex Reflection Groups
نویسندگان
چکیده
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 functions manipulations to obtain our results.
منابع مشابه
Excedance Numbers for Permutations in Complex Reflection Groups
The classical Weyl groups appear as special cases: for r = s = 1 we have the symmetric group G1,1,n = Sn, for r = 2s = 2 we have the hyperoctahedral group G2,1,n = Bn, and for r = s = 2 we have the group of even-signed permutations G2,2,n = Dn. We say that a permutation π ∈ Gr,s,n is an involution if π 2 = 1. More generally, we define G r,s,n = {σ ∈ Gr,s,n|σ m = 1}. Recently, Bagno, Garber and ...
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