Highly symmetric lines
| dc.contributor | Aalto-yliopisto | fi |
| dc.contributor | Aalto University | en |
| dc.contributor.author | Ganzhinov, Mikhail | |
| dc.contributor.department | Department of Information and Communications Engineering | en |
| dc.contributor.groupauthor | Information Theory | en |
| dc.contributor.organization | Information Theory | |
| dc.date.accessioned | 2025-05-28T06:58:07Z | |
| dc.date.available | 2025-05-28T06:58:07Z | |
| dc.date.issued | 2025-10-01 | |
| dc.description | Publisher Copyright: © 2025 The Author | |
| dc.description.abstract | A generalization of highly symmetric frames is presented by considering also projective stabilizers of frame vectors. This allows construction of highly symmetric line systems and study of highly symmetric frames in a more unified manner. Construction of highly symmetric line systems involves computation of twisted spherical functions associated with finite groups. Further generalizations include definition of highly symmetric systems of subspaces. We give several examples which illustrate our approach including 3 new kissing configurations which improve lower bounds on the kissing number in d=10,11,14 to 510, 592 and 1932 respectively. | en |
| dc.description.version | Peer reviewed | en |
| dc.format.extent | 26 | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Ganzhinov, M 2025, 'Highly symmetric lines', Linear Algebra and Its Applications, vol. 722, pp. 12-37. https://doi.org/10.1016/j.laa.2025.05.002 | en |
| dc.identifier.doi | 10.1016/j.laa.2025.05.002 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.other | PURE UUID: bbbfd263-8a5a-4b01-865d-22635280d7bc | |
| dc.identifier.other | PURE ITEMURL: https://research.aalto.fi/en/publications/bbbfd263-8a5a-4b01-865d-22635280d7bc | |
| dc.identifier.other | PURE FILEURL: https://research.aalto.fi/files/182356146/Highly_symmetric_lines.pdf | |
| dc.identifier.uri | https://aaltodoc.aalto.fi/handle/123456789/135858 | |
| dc.identifier.urn | URN:NBN:fi:aalto-202505284121 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Linear Algebra and Its Applications | en |
| dc.relation.ispartofseries | Volume 722, pp. 12-37 | en |
| dc.rights | openAccess | en |
| dc.rights | CC BY | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.keyword | Frames | |
| dc.subject.keyword | Irreducible representations of finite groups | |
| dc.subject.keyword | Line systems | |
| dc.title | Highly symmetric lines | en |
| dc.type | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä | fi |
| dc.type.version | publishedVersion |
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