On Majorana representations of \(A _6\) and \(A _7\).

DOI10.1007/s00220-011-1298-6zbMath1226.17023OpenAlexW2088401502MaRDI QIDQ644749

Alexander A. Ivanov

Publication date: 7 November 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-011-1298-6

zbMATH Keywords

Majorana representations of groupsMonster algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (10)

An infinite-dimensional 2-generated primitive axial algebra of monster type ⋮ Standard Majorana representations of the symmetric groups ⋮ Saturated Majorana representations of 𝐴₁₂ ⋮ Associative subalgebras of low-dimensional Majorana algebras ⋮ Majorana representation of the Monster group ⋮ Radicals of \(S_n\)-invariant positive semidefinite Hermitian forms ⋮ The Axes of a Majorana Representation of $$A_{12}$$ ⋮ Majorana algebra for the Hoffman-Singleton graph ⋮ Double axes and subalgebras of Monster type in Matsuo algebras ⋮ Weyl groups and vertex operator algebras generated by Ising vectors satisfying the (2B, 3C) condition

Cites Work

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• Majorana representations of the symmetric group of degree 4.
• A simple construction for the Fischer-Griess monster group
• Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\).
• Majorana representation of A6 involving 3C-algebras
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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