Matches in SemOpenAlex for { <https://semopenalex.org/work/W1538355264> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W1538355264 endingPage "68" @default.
- W1538355264 startingPage "57" @default.
- W1538355264 abstract "We study a second example of the phenomenon studied in the article “The complex Lorentzian Leech lattice and the bimonster.” We find 14 roots in the automorphism group of the quaternionic Lorentzian Leech lattice L that form the Coxeter diagram given by the incidence graph of projective plane over F 2 . We prove that the reflections in these roots generate the automorphism group of L . The investigation is guided by an analogy with the theory of Weyl groups. There is a unique point in the quaternionic hyperbolic space fixed by the “diagram automorphisms” that we call the Weyl vector. The unit multiples of the 14 roots forming the diagram are the analogs of the simple roots. The 14 mirrors perpendicular to the simple roots are the mirrors that are closest to the Weyl vector." @default.
- W1538355264 created "2016-06-24" @default.
- W1538355264 creator A5085174191 @default.
- W1538355264 date "2007-03-01" @default.
- W1538355264 modified "2023-09-30" @default.
- W1538355264 title "Reflection group of the quaternionic Lorentzian Leech lattice" @default.
- W1538355264 cites W1889296987 @default.
- W1538355264 cites W1995990042 @default.
- W1538355264 cites W2001049567 @default.
- W1538355264 cites W2043764902 @default.
- W1538355264 cites W2073055899 @default.
- W1538355264 cites W2081931069 @default.
- W1538355264 cites W2141841431 @default.
- W1538355264 cites W2571454428 @default.
- W1538355264 cites W2593661150 @default.
- W1538355264 doi "https://doi.org/10.1016/j.jalgebra.2006.05.032" @default.
- W1538355264 hasPublicationYear "2007" @default.
- W1538355264 type Work @default.
- W1538355264 sameAs 1538355264 @default.
- W1538355264 citedByCount "5" @default.
- W1538355264 countsByYear W15383552642013 @default.
- W1538355264 countsByYear W15383552642014 @default.
- W1538355264 countsByYear W15383552642020 @default.
- W1538355264 crossrefType "journal-article" @default.
- W1538355264 hasAuthorship W1538355264A5085174191 @default.
- W1538355264 hasBestOaLocation W15383552641 @default.
- W1538355264 hasConcept C121332964 @default.
- W1538355264 hasConcept C134306372 @default.
- W1538355264 hasConcept C136764020 @default.
- W1538355264 hasConcept C142292226 @default.
- W1538355264 hasConcept C180746962 @default.
- W1538355264 hasConcept C199360897 @default.
- W1538355264 hasConcept C200127275 @default.
- W1538355264 hasConcept C202444582 @default.
- W1538355264 hasConcept C24890656 @default.
- W1538355264 hasConcept C2524010 @default.
- W1538355264 hasConcept C25398135 @default.
- W1538355264 hasConcept C2781204021 @default.
- W1538355264 hasConcept C33923547 @default.
- W1538355264 hasConcept C37914503 @default.
- W1538355264 hasConcept C41008148 @default.
- W1538355264 hasConcept C65682993 @default.
- W1538355264 hasConcept C94618114 @default.
- W1538355264 hasConceptScore W1538355264C121332964 @default.
- W1538355264 hasConceptScore W1538355264C134306372 @default.
- W1538355264 hasConceptScore W1538355264C136764020 @default.
- W1538355264 hasConceptScore W1538355264C142292226 @default.
- W1538355264 hasConceptScore W1538355264C180746962 @default.
- W1538355264 hasConceptScore W1538355264C199360897 @default.
- W1538355264 hasConceptScore W1538355264C200127275 @default.
- W1538355264 hasConceptScore W1538355264C202444582 @default.
- W1538355264 hasConceptScore W1538355264C24890656 @default.
- W1538355264 hasConceptScore W1538355264C2524010 @default.
- W1538355264 hasConceptScore W1538355264C25398135 @default.
- W1538355264 hasConceptScore W1538355264C2781204021 @default.
- W1538355264 hasConceptScore W1538355264C33923547 @default.
- W1538355264 hasConceptScore W1538355264C37914503 @default.
- W1538355264 hasConceptScore W1538355264C41008148 @default.
- W1538355264 hasConceptScore W1538355264C65682993 @default.
- W1538355264 hasConceptScore W1538355264C94618114 @default.
- W1538355264 hasIssue "1" @default.
- W1538355264 hasLocation W15383552641 @default.
- W1538355264 hasLocation W15383552642 @default.
- W1538355264 hasOpenAccess W1538355264 @default.
- W1538355264 hasPrimaryLocation W15383552641 @default.
- W1538355264 hasRelatedWork W1914244925 @default.
- W1538355264 hasRelatedWork W1970573949 @default.
- W1538355264 hasRelatedWork W2010377176 @default.
- W1538355264 hasRelatedWork W2010629523 @default.
- W1538355264 hasRelatedWork W2022297797 @default.
- W1538355264 hasRelatedWork W2036077645 @default.
- W1538355264 hasRelatedWork W2055557355 @default.
- W1538355264 hasRelatedWork W2092247107 @default.
- W1538355264 hasRelatedWork W2783989611 @default.
- W1538355264 hasRelatedWork W2951306219 @default.
- W1538355264 hasVolume "309" @default.
- W1538355264 isParatext "false" @default.
- W1538355264 isRetracted "false" @default.
- W1538355264 magId "1538355264" @default.
- W1538355264 workType "article" @default.