The Leech lattice and other lattices

Abstract

This is an unpublished manuscript written in 1983-4. It contains several results about lattices (=integral quadratic forms) including the classification of the unimodular lattices in dimensions up to 25 and the construction of unimodular lattices with no roots in dimensions 26 and 27.

114 pages, plain tex

Cited by in corpus (20)

• The 290 fixed-point sublattices of the Leech lattice
• Schellekens' List and the Very Strange Formula
• Dimension Formulae and Generalised Deep Holes of the Leech Lattice Vertex Operator Algebra
• On the Classification of Elliptic Fibrations modulo Isomorphism on K3 Surfaces with large Picard Number
• Formes automorphes et voisins de Kneser des réseaux de Niemeier
• Représentations galoisiennes automorphes et conséquences arithmétiques des conjectures de Langlands et Arthur
• Automorphisms and Periods of Cubic Fourfolds
• Level one algebraic cusp forms of classical groups of small ranks
• A Note on Optimal Unimodular Lattices
• Self-dual Codes over the Kleinian Four Group
• Lattices, Vertex Algebras and Modular Categories
• On the non-amenability of the reflective quotient \Rmnum{1}: The rational case
• Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an N=4 superconformal structure
• Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41
• There exists no self-dual [24,12,10] code over F5
• Theta Series of Unimodular Lattices, Combinatorial Identities and Weighted Symmetric Polynomials
• A Complete Classification of Ternary Self-Dual Codes of Length 24
• A mass formula for unimodular lattices with no roots
• Conway invariant Jacobi forms on the Leech lattice
• On automorphisms of extremal even unimodular lattices of dimension 48