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
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