POSITIVE DEFINITE HERMITIAN FORMS OVER IMAGINARY QUADRATIC FIELDS

作     者：秦厚荣 

作者机构：Department of Mathematics East China Normal University Shanghai 200062 PRC Department of MathematicsNanjing UniversityNanjing210008PRC 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1990年第35卷第23期

页      面：1946-1948页

核心收录：

学科分类：07[理学] 08[工学] 

基　　金：Project supported by the National Natural Science Foundation of China 

主　　题：unimodular lattice indecomposable lattice class number. 

摘      要：The theory of integral Hermitian forms over algebraic number fields not only has connections with many branches of mathematics such as number theory, geometry of numbers, Lie theory and algebraic geometry but also has applications in some subjects such as code theory. Many papers dealt with such subject. Recently we generalize Kneser’s neighbor-lattice method to imaginary quadratic fields and develop a method to determine the class numbers and the representative forms of modular lattices (especially the unimodular lat-