✦ LIBER ✦
On the Construction of Positive Definite Indecomposable Unimodular Even Hermitian Forms
✍ Scribed by F.Z. Zhu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 174 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Let (Q(\sqrt{-m})\left(m>0\right.) and square free) be an imaginary quadratic field and (D_{m}) its ring of integers. It is proved that if any given natural numbers (n) and square-free (m) satisfying the condition (m \equiv 1(\bmod 4)) and (4 \mid n), or (m \equiv 2(\bmod 4)) and (2 \mid n), then we can construct explicitly indecomposable positive definite even unimodular Hermitian (D_{m})-lattices of rank (n . \quad 1995) Academic Press. Inc.