Acyclic complexes related to noncommutative symmetric functions

被引：3

作者：

Bergeron, F

Krob, D

机构：

[1] UNIV QUEBEC,LACIM,MONTREAL,PQ H3C 3P8,CANADA

[2] UNIV PARIS 07,LITP CNRS,IBP,F-75251 PARIS 05,FRANCE

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 1997年 / 6卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

noncommutative symmetric functions; complexes; ribbons;

D O I：

10.1023/A:1008622519966

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show how to endow the algebra of noncommutative symmetric functions with a natural structure of cochain complex which strongly relies on the combinatorics of ribbons, and we prove that the corresponding complexes are acyclic.

引用

页码：103 / 117

页数：15

共 13 条

[1]

DIPPER R, 1991, P LOND MATH SOC, V63, P161

[2]

DUCHAMP G, 1994, CR ACAD SCI I-MATH, V319, P909

[3]

DUCHAMP G, 1996, 96 LITP

[4] NONCOMMUTATIVE SYMMETRICAL FUNCTIONS [J].

GELFAND, IM ;

KROB, D ;

LASCOUX, A ;

LECLERC, B ;

RETAKH, VS ;

THIBON, JY .

ADVANCES IN MATHEMATICS, 1995, 112 (02) :218-348

[5]

Gessel I., 1984, Contemporary Mathematics, V34, P289

[6]

KROB D, 1996, 96 LITP

[7]

KROB D, 1995, 9507 LITP

[8]

LECLERC B, 1995, NONCOMMUTATIVE CYCLI

[9]

MACDONALD IG, 1995, SYMMETRIC FUNCTIONS

[10] DUALITY BETWEEN QUASI-SYMMETRICAL FUNCTIONS AND THE SOLOMON DESCENT ALGEBRA [J].

MALVENUTO, C ;

REUTENAUER, C .

JOURNAL OF ALGEBRA, 1995, 177 (03) :967-982

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