The Conway-Sloane tetralattice pairs are non-isometric
Juan Cervino and Georg Hein
| Number | 35 |
|---|---|
| Authors |
Juan Cervino
Georg Hein |
| Year | 2009 |
Conway and Sloane constructed a 4-parameter family of pairs of isospectral lattices of rank four. They conjectured that all pairs in their family are non-isometric, whenever the parameters are pairwise di erent, and veri ed this for classical integral lattices of determinant up to \(10^4\). In this paper, we use our theory of lattice invariants to prove this conjecture.
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