The Conway-Sloane tetralattice pairs are non-isometric
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 different, and verified this for classical integral lattices of determinant up to 10 4. In this pa...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 May 2011
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| In: |
Advances in mathematics
Year: 2011, Volume: 228, Issue: 1, Pages: 153-166 |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2011.05.016 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.aim.2011.05.016 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0001870811001666 
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| Author Notes: | Juan Marcos Cerviño, Georg Hein |
| Summary: | 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 different, and verified 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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| Item Description: | Gesehen am 28.06.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2082 |
| DOI: | 10.1016/j.aim.2011.05.016 |