Vertex operator algebra with two Miyamoto involutions generating \(S_{3}\).

DOI10.1016/S0021-8693(03)00170-4zbMath1046.17010arXivmath/0207117MaRDI QIDQ1403901

Shinya Sakuma, Hiroshi Yamauchi

Publication date: 20 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0207117

zbMATH Keywords

Monstervertex operator algebras

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (20)

The Conway-Miyamoto correspondences for the Fischer 3-transposition groups ⋮ Tricritical 3-State Potts Model and Vertex Operator Algebras Constructed from Ternary Codes ⋮ \(\mathbb{Z}_{2k}\)-code vertex operator algebras ⋮ Vertex operator algebras generated by two Ising vectors ⋮ On 3-transposition groups generated by \(\sigma\)-involutions associated to \(c=4/5\) Virasoro vectors ⋮ \(\mathbb {Z}_3\)-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster ⋮ Inertia groups and uniqueness of holomorphic vertex operator algebras ⋮ The VOAs generated by two Ising vectors \(e\) and \(f\) with \(\langle e, f \rangle = \frac{1}{2^8}, |\tau_e \tau_f| = 3\) or \(\langle e, f \rangle = \frac{3}{2^9}\) ⋮ Uniqueness of VOA structure of \(3C\)-algebra and \(5A\)-algebra ⋮ Module categories of simple current extensions of vertex operator algebras. ⋮ On the structure of framed vertex operator algebras and their pointwise frame stabilizers ⋮ Conformal field theories with sporadic group symmetry ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras ⋮ \(6A\)-algebra and its representations ⋮ 2A-orbifold construction and the baby-monster vertex operator superalgebra ⋮ A new existence proof of the Monster by VOA theory ⋮ Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice ⋮ McKay's \(E_6\) observation on the largest Fischer group ⋮ Parafermion vertex operator algebras and $W$-algebras ⋮ Griess algebras generated by the Griess algebras of two \(3A\)-algebras with a common axis

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