ON POSITIVE DEFINITE HERMITIAN-FORMS

被引：15

作者：

HOFFMANN, DW

机构：

[1] Department of Mathematics Evans Hall, University of California, Berkeley, 94720, CA

来源：

MANUSCRIPTA MATHEMATICA | 1991年 / 71卷 / 04期

关键词：

D O I：

10.1007/BF02568415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kneser's method of constructing adjacent lattices will be used to determine class numbers of unimodular positive definite hermitian lattices of rank 2 and 3 over rings of integers in some imaginary quadratic fields. The same method will also be applied in order to construct indecomposable unimodular positive definite hermitian lattices of rank 2 and 3 over almost all orders in imaginary quadratic fields, even non-maximal ones. All exceptional cases will be determined explicitly.

引用

页码：399 / 429

页数：31

共 50 条

[1] ON THE CLASSIFICATION OF POSITIVE DEFINITE UNIMODULAR HERMITIAN-FORMS
ZHU, FZ
[J]. CHINESE SCIENCE BULLETIN, 1991, 36 (18): : 1506 - 1511
[2] ON INDECOMPOSABLE POSITIVE DEFINITE INTEGRAL HERMITIAN-FORMS
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[J]. CHINESE SCIENCE BULLETIN, 1993, 38 (05): : 370 - 373
[3] CONSTRUCTION OF INDECOMPOSABLE POSITIVE DEFINITE UNIMODULAR HERMITIAN-FORMS
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[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1992, 35 (08): : 917 - 930
[4] POSITIVE DEFINITE HERMITIAN-FORMS OVER IMAGINARY QUADRATIC FIELDS
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[J]. CHINESE SCIENCE BULLETIN, 1990, 35 (23): : 1946 - 1948
[5] CONSTRUCTION OF INDECOMPOSABLE DEFINITE HERMITIAN-FORMS
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[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1994, 15 (03) : 349 - 360
[6] CONSTRUCTION OF INDECOMPOSABLE DEFINITE HERMITIAN-FORMS
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[J]. CHINESE SCIENCE BULLETIN, 1995, 40 (03): : 177 - 181
[7] ON THE CONSTRUCTION OF POSITIVE-DEFINITE INDECOMPOSABLE UNIMODULAR EVEN HERMITIAN-FORMS
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[J]. JOURNAL OF NUMBER THEORY, 1995, 50 (02) : 318 - 322
[8] REPRESENTATIONS OF POSITIVE-DEFINITE HERMITIAN-FORMS WITH APPROXIMATION AND PRIMITIVE PROPERTIES
HSIA, JS
PRIETOCOX, JP
[J]. JOURNAL OF NUMBER THEORY, 1994, 47 (02) : 175 - 189
[9] CLASS-NUMBERS OF POSITIVE DEFINITE TERNARY QUATERNION HERMITIAN-FORMS
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[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1983, 59 (10) : 490 - 493
[10] DEFINITE HERMITIAN-FORMS AND THE CANCELLATION OF SIMPLE KNOTS
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[J]. ARCHIV DER MATHEMATIK, 1983, 40 (02) : 182 - 185

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