Two oiseau decompositions of permutations and their application to Eulerian calculus

被引：2
|
作者：
Foata, D
Randrianarivony, A
机构：
[1] Inst Lothaire, F-67000 Strasbourg, France
[2] Univ Antananarivo, Fac Sci, Antananarivo, Madagascar
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2006年 / 27卷 / 03期
关键词：
D O I：
10.1016/j.ejc.2005.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two transformations are constructed that map the permutation group onto a well-defined subset of a partially commutative monoid generated by the so-called oiseaux. Those transformations are then used to show that some bivariable statistics introduced by Babson and Steingrimsson are Euler-Mahonian. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：342 / 363
页数：22
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