On Indecomposable Positive Definite Integral Hermitian Forms  

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》1993年第5期370-373,共4页

摘　　要：Let F=Q(i=m^1/2（i²=-1, m】0 and square free） be an imaginary quadratic field and R_m its ring of algebraic integers. The aim of this note is to construct n-ary positive definite indecomposable integral. Hermitian forms over R_m with given rank and given discriminant. The word decomposition or splitting is the geometric one, i. e. lattice L has a non-trivial expression of the form L=M⊥N. If there is no such expression we call L indecomposable. There is another kind of decomposition——a more algebraic one. A positive definite Hermitian

关 键 词：INDECOMPOSABLE LATTICE (form) nondecomposable LATTICE (form) EVEN LATTICE (form) minimum of a LATTICE 

分 类 号：N[自然科学总论]