A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16.

DOI10.1016/j.jalgebra.2010.11.013zbMath1283.20009arXiv1006.3907OpenAlexW2963175078MaRDI QIDQ716467

Robert L. jun. Griess, Ching Hung Lam

Publication date: 22 September 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3907

zbMATH Keywords

vertex operator algebrasLeech latticecentralizers of involutionsconjugacy classes of involutionsMonster simple groupextended \(E_8\)-diagramMoonshine

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69) Automorphism groups of lattices (11H56)

Related Items

Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) ⋮ Siegel modular forms of weight 13 and the Leech lattice ⋮ Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge 24 ⋮ Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras ⋮ The geometry of \(H_4\) polytopes ⋮ On \(\mathbb {Z}_p\)-orbifold constructions of the Moonshine vertex operator algebra ⋮ Extensions of tensor products of \(\mathbb{Z}_p\)-orbifold models of the lattice vertex operator algebra \(V_{\sqrt{2} A_{p - 1}}\) ⋮ Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice

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