Title of article :
The complex Lorentzian Leech lattice and the bimonster
Author/Authors :
Tathagata Basak، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
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
Journal title :
Journal of Algebra