The Axes of a Majorana Representation of $$A_{12}$$

DOI10.1007/978-81-322-1814-2_9zbMath1341.20010OpenAlexW949751048MaRDI QIDQ2807170

Alonso Castillo-Ramirez, Alexander A. Ivanov

Publication date: 19 May 2016

Published in: Groups of Exceptional Type, Coxeter Groups and Related Geometries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-1814-2_9

zbMATH Keywords

MonsterConway-Griess-Norton algebraMajorana representationsalternating group of degree 12

Mathematics Subject Classification ID

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

Related Items (4)

Standard Majorana representations of the symmetric groups ⋮ Saturated Majorana representations of 𝐴₁₂ ⋮ Majorana representation of the Monster group ⋮ Radicals of \(S_n\)-invariant positive semidefinite Hermitian forms

Uses Software

• GAP

Cites Work

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• Majorana representations of \(A_5\).
• Majorana representations of the symmetric group of degree 4.
• On Majorana representations of \(A _6\) and \(A _7\).
• Griess algebras and conformal vectors in vertex operator algebras
• Majorana representation of A6 involving 3C-algebras
• The L_2(11)-subalgebra of the Monster algebra
• Majorana representations of L3(2)
• Construction of 2-closed M-representations
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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