On 3-transposition groups generated by \(\sigma\)-involutions associated to \(c=4/5\) Virasoro vectors

DOI10.1016/j.jalgebra.2014.06.009zbMath1312.17023arXiv1311.2829OpenAlexW2963701828MaRDI QIDQ404236

Ching Hung Lam, Hiroshi Yamauchi

Publication date: 4 September 2014

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

Full work available at URL: https://arxiv.org/abs/1311.2829

zbMATH Keywords

vertex operator algebraVirasoro algebra3-transposition group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (8)

The Conway-Miyamoto correspondences for the Fischer 3-transposition groups ⋮ Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) ⋮ Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras ⋮ \(\mathbb {Z}_3\)-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster ⋮ Research topics in finite groups and vertex algebras ⋮ Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice ⋮ Transposition Algebras ⋮ Fourvolutions and automorphism groups of orbifold lattice vertex operator algebras

Cites Work

• The group of symmetries of the shorter Moonshine module
• \(EE_8\)-lattices and dihedral groups
• McKay's \(E_6\) observation on the largest Fischer group
• The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three
• A simple construction for the Fischer-Griess monster group
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\).
• A new construction of the moonshine vertex operator algebra over the real number field
• The \(3\)-transposition groups with trivial center
• Griess algebras and conformal vectors in vertex operator algebras
• Ternary codes and vertex operator algebras
• \(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras
• 3-transposition groups of symplectic type and vertex operator algebras
• McKay’s E7 Observation on the Baby Monster
• The Coxeter–Todd lattice, the Mitchell group, and related sphere packings
• 3-state Potts model and automorphisms of vertex operator algebras of order 3
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