Realization of the Stasheff polytope

被引：97

作者：

Loday, JL

机构：

[1] CNRS, Inst Rech Math Avancee, F-67084 Strasbourg, France

[2] Univ Strasbourg, F-67084 Strasbourg, France

来源：

ARCHIV DER MATHEMATIK | 2004年 / 83卷 / 03期

关键词：

52B11; 55P47;

D O I：

10.1007/s00013-004-1026-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a simple formula for the coordinates of the vertices of the Stasheff polytope (alias associahedron) and we compare it to the permutohedron.

引用

页码：267 / 278

页数：12

共 9 条

[1] Polytopal realizations of generalized associahedra [J].

Chapoton, F ;

Fomin, S ;

Zelevinsky, A .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2002, 45 (04) :537-566

[2]

DEVODOSS SL, 1999, CONT MATH, V239, P91

[3]

Gelfand I. M., 1994, MATH THEORY APPL

[4] THE ASSOCIAHEDRON AND TRIANGULATIONS OF THE N-GON [J].

LEE, CW .

EUROPEAN JOURNAL OF COMBINATORICS, 1989, 10 (06) :551-560

[5] Order structure on the algebra of permutations and of planar binary trees [J].

Loday, JL ;

Ronco, MO .

JOURNAL OF ALGEBRAIC COMBINATORICS, 2002, 15 (03) :253-270

[6] Dialgebras [J].

Loday, JL .

DIALGEBRAS AND RELATED OPERADS, 2001, 1763 :7-66

[7]

Stasheff JD., 1963, Trans. Amer. Math. Soc, V108, P275

[8]

STATHEFF JD, 1997, CONT MATH, V202, P53

[9]

Tonks A., 1997, Contemp. Math., V202, P33

← 1 →