The complex Lorentzian Leech lattice and the bimonster

JOURNAL OF ALGEBRA

卷:309

Article

Basak, Tathagata

关键词: complex Leech lattice;    complex hyperbolic reflection group;    monster;    Weyl group;    Coxeter diagram;   

DOI  :  10.1016/j.jalgebra.2006.05.033

来源: Elsevier

【 摘 要 】

We find 26 reflections in the automorphism, group of the Lorentzian Leech lattice L over Z[e(2 pi i/3)] 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. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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