Necessary and sufficient local conditions are given for the primitive representation of a lattice by a unimodular lattice. Global results are then obtained for indefinite lattices by using strong approximation. 1993 Academic Press. Inc.
Representations of Codimension ⩾3 by Definite Quadratic Forms
✍ Scribed by Wai Kiu Chan; Dennis R. Estes; M. Jöchner
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 185 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Let M be a positive definite quadratic Z-lattice of rank n+3. If N is a quadratic Z-lattice of rank n which is primitively represented by the genus of M and if all the successive minima of N increase sufficiently quickly, then there exists a global primitive representation of N by M with approximation and primitivity properties.
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