The complex Lorentzian Leech lattice and the bimonster (II)

DOI10.1090/tran/6558zbMath1345.20055arXiv0811.0062OpenAlexW2964026993MaRDI QIDQ2790619

Tathagata Basak

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0062

zbMATH Keywords

Artin groupsLeech latticegenerators and relationsbimonstercomplex hyperbolic reflection groupsorbifold fundamental groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)

Related Items (3)

Generators for a complex hyperbolic braid group ⋮ On the \(Y_{555}\) complex reflection group. ⋮ Modular lattices from finite projective planes

Cites Work

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• On the \(Y_{555}\) complex reflection group.
• The complex Lorentzian Leech lattice and the bimonster
• Automorphic forms with singularities on Grassmannians
• \(Y\)-groups via transitive extension
• Compactifications defined by arrangements. I: The ball quotient case.
• The Leech lattice and complex hyperbolic reflections
• Modular lattices from finite projective planes
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• 26 implies the Bimonster

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