Self-dual lattices of type \(A\)

DOI10.1007/BF02392488zbMath0848.17034MaRDI QIDQ1899823

Xiaoping Xu

Publication date: 22 November 1995

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

moonshine modulevertex operator algebrasgluingroot latticesCoxeter elementmonster simple groupself-dual lattices

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69) Bilinear and Hermitian forms (11E39) Simple groups: alternating groups and groups of Lie type (20D06) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

Theta Series of Unimodular Lattices, Combinatorial Identities and Weighted Symmetric Polynomials

Cites Work

• A lattice theoretical construction of a GAB of the Suzuki sporadic simple group
• On the enumeration of lattices of determinant one
• The friendly giant
• An \(E_ 8-\)approach to the Leech lattice and the Conway group
• Codes over GF(4) and complex lattices
• A gluing technique for constructing relatively self-dual codes
• Analogue of vertex operator triality for ternary codes
• The algebraic structure of relative twisted vertex operators
• A characterisation of Leech's lattice
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Vertex algebras, Kac-Moody algebras, and the Monster
• Monstrous Moonshine
• Twenty-three constructions for the Leech lattice
• On Integral Representations of Finite Groups
• Central extensions of self-dual type-a complex lattices¹
• Notes on Sphere Packings
• A Correlation Between PSU 4 (3), the Suzuki Group, and the Conway Group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Self-dual lattices of type \(A\)