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Pregled bibliografske jedinice broj: 454506

The contact polytope of the Leech lattice

Dutour Sikirić, Mathieu; Schuermann, Achill; Vallentin, Frank
The contact polytope of the Leech lattice // Discrete & computational geometry, 44 (2010), 4; 904-911 doi:10.1007/s00454-010-9266-z (međunarodna recenzija, članak, znanstveni)

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Naslov
The contact polytope of the Leech lattice

Autori
Dutour Sikirić, Mathieu ; Schuermann, Achill ; Vallentin, Frank

Izvornik
Discrete & computational geometry (0179-5376) 44 (2010), 4; 904-911

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Leech lattice; contact polytope; Conway groups; Voronoi cell

Sažetak
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1, 197, 362, 269, 604, 214, 277, 200 many facets in 232 orbits.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
098-0982705-2707 - Matematičko modeliranje cirkulacije i satelitska detekcija graničnih procesa (Kuzmić, Milivoj, MZOS ) ( CroRIS)

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Mathieu Dutour Sikirić (autor)

Poveznice na cjeloviti tekst rada:

doi www.springerlink.com

Citiraj ovu publikaciju:

Dutour Sikirić, Mathieu; Schuermann, Achill; Vallentin, Frank
The contact polytope of the Leech lattice // Discrete & computational geometry, 44 (2010), 4; 904-911 doi:10.1007/s00454-010-9266-z (međunarodna recenzija, članak, znanstveni)
Dutour Sikirić, M., Schuermann, A. & Vallentin, F. (2010) The contact polytope of the Leech lattice. Discrete & computational geometry, 44 (4), 904-911 doi:10.1007/s00454-010-9266-z.
@article{article, author = {Dutour Sikiri\'{c}, Mathieu and Schuermann, Achill and Vallentin, Frank}, year = {2010}, pages = {904-911}, DOI = {10.1007/s00454-010-9266-z}, keywords = {Leech lattice, contact polytope, Conway groups, Voronoi cell}, journal = {Discrete and computational geometry}, doi = {10.1007/s00454-010-9266-z}, volume = {44}, number = {4}, issn = {0179-5376}, title = {The contact polytope of the Leech lattice}, keyword = {Leech lattice, contact polytope, Conway groups, Voronoi cell} }
@article{article, author = {Dutour Sikiri\'{c}, Mathieu and Schuermann, Achill and Vallentin, Frank}, year = {2010}, pages = {904-911}, DOI = {10.1007/s00454-010-9266-z}, keywords = {Leech lattice, contact polytope, Conway groups, Voronoi cell}, journal = {Discrete and computational geometry}, doi = {10.1007/s00454-010-9266-z}, volume = {44}, number = {4}, issn = {0179-5376}, title = {The contact polytope of the Leech lattice}, keyword = {Leech lattice, contact polytope, Conway groups, Voronoi cell} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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  • MathSciNet

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