ON THE CLASSIFICATION OF POSITIVE DEFINITE UNIMODULAR HERMITIAN FORMS  

ON THE CLASSIFICATION OF POSITIVE DEFINITE UNIMODULAR HERMITIAN FORMS

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作  者:朱福祖 

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

出  处:《Chinese Science Bulletin》1991年第18期1506-1511,共6页

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

摘  要:1. Let F= Q (t^2=-1, m】0 and square free) be an imaginary quadratic field, D_m the ring of integers in F, H an n-ary positive definite Hermitian form over F(hereafter simply as H-form), and let(V, H), or simply V, denote a non-zero regular n-ary positive definite Hermitian space over F. L denotes a D_m-lattice on V, i. e. L is a finitely generated D_m-module of V and FL=V.

关 键 词:unimodular LATTICE (form) INDECOMPOSABLE LATTICE (form) normal GENUS reduced FORM opposite FORM EVEN genus. 

分 类 号:N[自然科学总论]

 

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