POSITIVE DEFINITE HERMITIAN FORMS OVER IMAGINARY QUADRATIC FIELDS  

POSITIVE DEFINITE HERMITIAN FORMS OVER IMAGINARY QUADRATIC FIELDS

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作  者:秦厚荣 

机构地区:[1]Department of Mathematics, East China Normal University, Shanghai 200062, PRC Department of Mathematics,Nanjing University,Nanjing,210008,PRC

出  处:《Chinese Science Bulletin》1990年第23期1946-1948,共3页

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

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-

关 键 词:unimodular LATTICE INDECOMPOSABLE LATTICE CLASS number. 

分 类 号:N[自然科学总论]

 

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