Koszulity of splitting algebras associated with cell complexes

被引：4

作者：

Retakh, Vladimir ^{[1
]}

Serconek, Shirlei ^{[2
]}

Wilson, Robert Lee ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] IME UFG, BR-74001970 Goiania, Go, Brazil

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 04期

关键词：

Splitting algebras; Koszulity; Cell decompositions; HILBERT SERIES; QUADRATIC ALGEBRAS; PSEUDO-ROOTS; POLYNOMIALS;

D O I：

10.1016/j.jalgebra.2009.11.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：983 / 999

页数：17