Majorana representations of \(A_5\).

DOI10.1007/s00209-011-0933-4zbMath1260.20019OpenAlexW2107771718MaRDI QIDQ455659

Seress, Ákos, Alexander A. Ivanov

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0933-4

zbMATH Keywords

Griess algebra\(2A\)-involutionsalternating group \(A_5\)Conway-Griess-Norton algebraMajorana representationsMonster group

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69) Representations of sporadic groups (20C34)

Related Items (12)

An infinite-dimensional 2-generated primitive axial algebra of monster type ⋮ Standard Majorana representations of the symmetric groups ⋮ An infinite family of axial algebras ⋮ 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 ⋮ Majorana representation of A6 involving 3C-algebras ⋮ Weyl groups and vertex operator algebras generated by Ising vectors satisfying the (2B, 3C) condition

Uses Software

• GAP

Cites Work

• Majorana representations of the symmetric group of degree 4.
• A simple construction for the Fischer-Griess monster group
• The friendly giant
• A new construction of the moonshine vertex operator algebra over the real number field
• Griess algebras and conformal vectors in vertex operator algebras
• Constructing the Monster amalgam.
• Uniqueness of the Fischer-Griess Monster
• Majorana representations of L3(2)
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras
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