• Title of article

    The complex Lorentzian Leech lattice and the bimonster

  • Author/Authors

    Tathagata Basak، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    25
  • From page
    32
  • To page
    56
  • Abstract
    We find 26 reflections in the automorphism group of the Lorentzian Leech lattice L over that form the Coxeter diagram seen in the presentation of the bimonster. We prove that these 26 reflections generate the automorphism group of L. We find evidence that these reflections behave like the simple roots and the vector fixed by the diagram automorphisms behaves like the Weyl vector for the reflection group.
  • Keywords
    Coxeter diagram , Complex hyperbolic reflection group , Complex Leech lattice , Monster , Weyl group
  • Journal title
    Journal of Algebra
  • Serial Year
    2007
  • Journal title
    Journal of Algebra
  • Record number

    697942