Signed words and permutations, V; a sextuple distribution

被引：11
|
作者：
Foata, Dominique [1 ]
Han, Guo-Niu [2 ,3 ]
机构：
[1] Inst Lothaire, F-67000 Strasbourg, France
[2] CNRS, F-67084 Strasbourg, France
[3] Univ Strasbourg, IRMA UMR 7501, F-67084 Strasbourg, France
来源：
RAMANUJAN JOURNAL | 2009年 / 19卷 / 01期
关键词：
Hyperoctahedral group; Length function; Flag-major index; Flag-excedance number; Flag-descent number; Signed permutations; Fixed points; Lyndon factorization; Decreases; Even decreases; q-Series telescoping; Q-EULERIAN POLYNOMIALS; MAJOR INDEXES; DESCENT NUMBERS; STATISTICS;
D O I：
10.1007/s11139-007-9059-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the distribution of the sextuple statistic over the hyperoctahedral group B-n that involves the flag-excedance and flag-descent numbers "fexc" and "fdes," the flag-major index "fmaj," the positive and negative fixed point numbers "fix(+)" and "fix(-)" and the negative letter number "neg." Several specializations are considered. In particular, the joint distribution for the pair (fexc, fdes) is explicitly derived.
引用
收藏
页码：29 / 52
页数：24
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