Hopf algebras of permutahedra, associahedra and hypercubes

被引：21

作者：

Chapoton, F ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math, F-75005 Paris, France

来源：

ADVANCES IN MATHEMATICS | 2000年 / 150卷 / 02期

关键词：

D O I：

10.1006/aima.1999.1868

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Three graded Hopf algebras over Z are constructed, each one having in degree n a basis indexed by the faces of a polytope of dimension n-1, respectively, the hypercube, the associahedron, and the permutahedron. This lifts to the level of all faces previous constructions of Loday and Runco and Malvenuto and Reutenauer for vertices of the same polyhedra. (C) 2000 Academic Press.

引用

页码：264 / 275

页数：12