实二次整数环上的正定偶幺模格  

POSITIVE DEFINITE EVEN UNIMODULAR LATTICES OVER REAL QUADRATIC INTEGER RINGS

作　　者：王瑞卿[1] 

机构地区：[1]郑州纺织工学院基础部,郑州450007

出　　处：《数学杂志》2001年第1期19-23,共5页Journal of Mathematics

摘　　要：本文给出了二次域 Q(d ) (d>0且无平方因子正整数 )上二次空间 V 〈1〉⊥〈1〉⊥…⊥〈1〉的正定偶幺模格存在的充要条件 ,不可分偶幺模格的构作及偶幺模格种类数为 1的实二次域 .the necessary and sufficent conditions for existence of positive definite even unimodular lattices in the quadratic space V〈1〉⊥〈1〉…〈1〉 over real quadratic fields Q(d)(d is positive square free integer number) are given; the constructions of positive even indecomposible unimodular lattices which satisfy the necessary and sufficent existence conditions are obtained; the fields over which the positive even unimodular genus has class number one be all finded out.

关 键 词：邻格 类数 实二次整数环 正定偶幺模格 二次型理论 

分 类 号：O156.5[理学—数学] O153.1[理学—基础数学]