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.

引用

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页码：342 / 363

页数：22

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