On the maximal dimension of Lorentz lattices with cofinite reflection group

DOI10.1006/jnth.1996.0141zbMath0871.11046OpenAlexW1979385571MaRDI QIDQ678403

Frank Esselmann

Publication date: 17 April 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0141

zbMATH Keywords

root systemcofinite reflection subgroupintegral positive definite latticereal quadratic space

Mathematics Subject Classification ID

Quadratic spaces; Clifford algebras (11E88) Automorphism groups of lattices (11H56)

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Lattices and \(K3\) surfaces of degree 6 ⋮ Vinberg's algorithm for hyperbolic lattices ⋮ On superintegral Kleinian sphere packings, bugs, and arithmetic groups ⋮ Kleinian sphere packings, reflection groups, and arithmeticity ⋮ From geometry to arithmetic of compact hyperbolic Coxeter polytopes ⋮ The classification of 2-reflective modular forms ⋮ The reflective Lorentzian lattices of rank 3 ⋮ Classification of Enriques surfaces covered by the supersingular \(K3\) surface with Artin invariant 1 in characteristic 2 ⋮ Reflective Lorentzian lattices of signature \((5,1)\) ⋮ A remark on algebraic surfaces with polyhedral Mori cone ⋮ Arithmetic hyperbolic reflection groups ⋮ Generation of isometries of certain \(\mathbb{Z}\)-lattices by symmetries ⋮ Root systems for Lorentzian Kac–Moody algebras in rank 3 ⋮ Reflection groups of Lorentzian lattices ⋮ Classification of $(1{,}{\kern1pt}2)$-reflective anisotropic hyperbolic lattices of rank $4$ ⋮ Reflection groups in algebraic geometry

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