منابع مشابه
Complex Lorentzian Leech Lattice and Bimonster
We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[e] 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 th...
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We find 26 reflections in the automorphism group of the the Lorentzian Leech lattice L over Z[e2πi/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 f...
متن کاملThe Complex Lorentzian Leech Lattice and the Bimonster (ii)
Let D be the incidence graph of the projective plane over F3. The Artin group of the graph D maps onto the bimonster and a complex hyperbolic reflection group Γ acting on 13 dimensional complex hyperbolic space Y . The generators of the Artin group are mapped to elements of order 2 (resp. 3) in the bimonster (resp. Γ). Let Y ◦ ⊆ Y be the complement of the union of the fixed points of reflection...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2001
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8494