Collection
Degenerate lattices
Lattices on which the correlation has a nonzero kernel.
A lattice is degenerate when its radical is nonzero. Its discriminant group and genus symbol are undefined.
7 lattices
This collection in the database
| Tag | Lattice | Rank | Signature | Determinant | Properties |
|---|---|---|---|---|---|
| 0031 | \(\widetilde{A}_{2}\) | 3 | (2, 0) | 0 | integral even root lattice degenerate |
| 0047 | \(\widetilde{A}_{3}\) | 4 | (3, 0) | 0 | integral even root lattice degenerate |
| 0060 | \(\widetilde{D}_{4}\) | 5 | (4, 0) | 0 | integral even root lattice degenerate |
| 0075 | \(\widetilde{D}_{5}\) | 6 | (5, 0) | 0 | integral even root lattice degenerate |
| 0090 | \(\widetilde{E}_{6}\) | 7 | (6, 0) | 0 | integral even root lattice degenerate |
| 0106 | \(\widetilde{E}_{7}\) | 8 | (7, 0) | 0 | integral even root lattice degenerate |
| 0119 | \(\widetilde{E}_{8}\) | 9 | (8, 0) | 0 | integral even root lattice degenerate |