| CONSTRUCTION OF INDECOMPOSABLEDEFINITE HERMITIAN FORMS |
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| 作者姓名： | Zhu Fuzu |
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| 作者单位： | Department ofMathematics，East China Normal University Shanghai 200062，China |
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| 摘 要： | ＣＯＮＳＴＲＵＣＴＩＯＮＯＦＩＮＤＥＣＯＭＰＯＳＡＢＬＥＤＥＦＩＮＩＴＥＨＥＲＭＩＴＩＡＮＦＯＲＭＳ￥ＺＨＵＦＵＺＵ（ＤｅｐａｒｔｍｅｌｌｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙｔＳｈａｎｇｈａｉ２０００６２，...
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| 关 键 词： | Indecomposable lattice(form) Minimum of a lattice(form) Minimal、ctor Irreduclble vector. |
| 收稿时间： | 2/7/1992 12:00:00 AM |
| 修稿时间： | 1992/12/12 0:00:00 |
CONSTRUCTION OF INDECOMPOSABLE DEFINITE HERMITIAN FORMS |
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| Zhu Fuzu.CONSTRUCTION OF INDECOMPOSABLEDEFINITE HERMITIAN FORMS[J].Chinese Annals of Mathematics,Series B,1994,15(3):349-360. |
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| Authors: | Zhu Fuzu |
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| Institution: | DepartmentofMathematics,EastChinaNormalUniversity,Shanghai20062,China |
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| Abstract: | This paper gives a method to construct indecomposable positive definite
integral Hermitian forms over an imaginary quadratic field
$Q(\sqrt{-m})$ with given discriminant and given rank. It is shown that
for any natural numbers $n$ and $a$, there are $n$-ary indecomposable
positive definite integral Hermitian lattices over $Q(\sqrt{-1})$ (resp.
$Q(\sqrt{-2}))$ with discriminant $a$, except for four (resp. one)
exceptions. In these exceptional cases there are no lattices with the
desired properties. |
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| Keywords: | Indecomposable lattice (form) Minimum of a lattice
(form) Minimal vector Irreducible vector |
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