The automorphism group of the 26-dimensional even unimodular Lorentzian lattice
From MaRDI portal
Publication:1837764
DOI10.1016/0021-8693(83)90025-XzbMath0508.20023WikidataQ56228304 ScholiaQ56228304MaRDI QIDQ1837764
Publication date: 1983
Published in: Journal of Algebra (Search for Journal in Brave)
Coxeter groupgroup of automorphismsunimodular latticeCoxeter graphsgroup of automorphisms of Leech latticeLorentzian norm
Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Lattices and convex bodies (number-theoretic aspects) (11H06) Automorphism groups of lattices (11H56)
Related Items
Generalized Kac-Moody algebras and some related topics, On the fundamental representation of Borcherds algebras with one imaginary simple root, Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3, On the non-amenability of the reflective quotient, Automorphism groups of Lorentzian lattices, Commensurability classes of hyperbolic Coxeter groups., Metastring theory and modular space-time, Generalized Kac-Moody algebras, On \(E_{10}\) and the DDF construction, 15-nodal quartic surfaces. II: The automorphism group, Reflection centralizers in Coxeter groups., The complex Lorentzian Leech lattice and the bimonster, Reflection group of the quaternionic Lorentzian Leech lattice, A Poincaré series on hyperbolic space, Holes of the Leech lattice and the projective models of K3 surfaces, A note on construction of the Leech lattice, The 290 fixed-point sublattices of the Leech lattice, Rational curves on the supersingular \(K3\) surface with Artin invariant 1 in characteristic 3, Lattices like the Leech lattice, The automorphism groups of Kummer surfaces associated with the product of two elliptic curves, Reflective and quasi-reflective Bianchi groups., The unimodular lattices of dimension up to 23 and the Minkowski-Siegel mass constants, On an Enriques Surface Associated With a Quartic Hessian Surface, Moonshine and the meaning of life, The reflective Lorentzian lattices of rank 3, Automorphic correction of the hyperbolic Kac-Moody algebra E10, On the supersingular \(K3\) surface in characteristic 5 with Artin invariant 1, Monstrous moonshine and monstrous Lie superalgebras, Arithmetic hyperbolic reflection groups, A monster Lie algebra?, Reflection groups on the octave hyperbolic plane, New complex- and quaternion-hyperbolic reflection groups, The elliptic modular surface of level 4 and its reduction modulo 3, A new complex reflection group in \(PU(9,1)\) and the Barnes-Wall lattice, Reflection groups in algebraic geometry, Automorphism groups of certain Enriques surfaces, Classification of positive definite lattices, The monster Lie algebra, Borcherds' method for Enriques surfaces
Cites Work