Equi-distribution over descent classes of the hyperoctahedral group
نویسندگان
چکیده
A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schützenberger gave a remarkable refinement and proved that these parameters are equi-distributed over inverse descent classes, implying bivariate equi-distribution identities. Type B analogues of these results, refinements and consequences are given in this paper.
منابع مشابه
Equi - distribution over Descent Classes of the Hyperoctahedral Group ( Extended Abstract )
Abstract. A classical result of MacMahon shows that the length function and the major index are equidistributed over the symmetric group. Foata and Schützenberger gave a remarkable refinement and proved that these parameters are equi-distributed over inverse descent classes, implying bivariate equi-distribution identities. Type B analogues and further refinements and consequences are given in t...
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 113 شماره
صفحات -
تاریخ انتشار 2006