The Leech lattice

DOI10.1098/rspa.1985.0039zbMath0558.10028OpenAlexW2169039278MaRDI QIDQ3222931

Richard E. Borcherds

Publication date: 1985

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1985.0039

zbMATH Keywords

existenceuniquenesscovering radiusLeech latticeDynkin diagramLorentzian spaceLorentzian lattice

Mathematics Subject Classification ID

Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (19)

Generalized Kac-Moody algebras and some related topics ⋮ On the non-amenability of the reflective quotient ⋮ Automorphism groups of Lorentzian lattices ⋮ Some relations between roots, holes, and pillars ⋮ The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1) ⋮ Level one algebraic cusp forms of classical groups of small rank ⋮ A new upper bound for the minimum of an integral lattice of determinant 1 ⋮ Most Vertex Superalgebras Associated to an Odd Unimodular Lattice of Rank 24 Have an Superconformal Structure ⋮ A Poincaré series on hyperbolic space ⋮ A note on construction of the Leech lattice ⋮ The 290 fixed-point sublattices of the Leech lattice ⋮ Lattices like the Leech lattice ⋮ Schellekens' list and the very strange formula ⋮ Rank 72 high minimum norm lattices ⋮ A note on optimal unimodular lattices ⋮ Classification of positive definite lattices ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮ The monster Lie algebra ⋮ A gluing technique for constructing relatively self-dual codes

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