格点空间上的差分复形及其正合性  

Difference Complex on Lattic Space and Its Exactness

作　　者：周慧倩[1] 常水珍[1] 

机构地区：[1]洛阳师范学院数学科学学院,河南洛阳471022

出　　处：《洛阳师范学院学报》2008年第2期13-16,共4页Journal of Luoyang Normal University

摘　　要：运用非交换微分运算,在正规格点空间上给出差分复形的定义并构造同伦映射证明其正合性,这正是经典de Rham复形及Poincaré引理的差分离散形式。Using noncommutative differential calculus, is proved to be exact by constructing homotopy maps, a difference which is just complex is introduced on regular lattic and a difference analogue of classical de Rham complex and Poincare lemma.

关 键 词：非交换微分运算 差分复形 Poincar6引理 同伦映射 

分 类 号：O186.155[理学—数学]