The complex Lorentzian Leech lattice and the bimonster

DOI10.1016/j.jalgebra.2006.05.033zbMath1125.11040arXivmath/0508228OpenAlexW2571454428WikidataQ56226507 ScholiaQ56226507MaRDI QIDQ875074

Tathagata Basak

Publication date: 11 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508228

zbMATH Keywords

Weyl groupcomplex Leech latticeCoxeter diagramcomplex hyperbolic reflection group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)

Related Items

The number of convex tilings of the sphere by triangles, squares, or hexagons, Reflection group of the quaternionic Lorentzian Leech lattice, Locally toroidal polytopes of rank 6 and sporadic groups, The complex Lorentzian Leech lattice and the bimonster (II), Generators for a complex hyperbolic braid group, On the \(Y_{555}\) complex reflection group., The moduli space of cubic threefolds as a ball quotient, On Coxeter diagrams of complex reflection groups, A new complex reflection group in \(PU(9,1)\) and the Barnes-Wall lattice, Modular lattices from finite projective planes, Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models

Cites Work

• The complex Leech lattice and maximal subgroups of the Suzuki group
• Reflection group of the quaternionic Lorentzian Leech lattice
• A note on optimal unimodular lattices
• The Leech lattice and complex hyperbolic reflections
• New complex- and quaternion-hyperbolic reflection groups
• The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
• 26 implies the Bimonster
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