scientific article; zbMATH DE number 1917721

DOI10.1155/S1073792803212010zbMath1037.17034OpenAlexW2276540654MaRDI QIDQ4808265

Hiromichi Yamada, Ching Hung Lam, Masaaki Kitazume

Publication date: 14 October 2003

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/s1073792803212010

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zbMATH Keywords

vertex operator algebrahighest weightLeech latticemoonshineMonster group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\) ⋮ Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra ⋮ Coset construction of \(\mathbb Z/3\) orbifold vertex operator algebra \(V_{\sqrt{2}A_2}^{\tau}\) ⋮ Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three ⋮ 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 ⋮ Decomposition of the lattice vertex operator algebra \(V_{\sqrt{2}A_l}\). ⋮ On intertwining operators and finite automorphism groups of vertex operator algebras ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ McKay's \(E_6\) observation on the largest Fischer group ⋮ Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau $-modules of twisted type

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