The future of Majorana theory

DOI10.1007/978-981-13-2047-7_6zbMATH Open1544.2003MaRDI QIDQ6599586

A. A. Ivanov

Publication date: 6 September 2024

Mathematics Subject Classification ID

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

Cites Work

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• A characterisation of weakly locally projective amalgams related to \(A_{16}\) and the sporadic simple groups \(M_{24}\) and \(He\).
• Standard Majorana representations of the symmetric groups
• Majorana representations of \(A_5\).
• An explicit Majorana representation of the group \(3^2:2\) of \(3C\)-pure type
• Majorana representations of the symmetric group of degree 4.
• On Majorana representations of \(A _6\) and \(A _7\).
• On R. Griess' Friendly giant
• A simple construction for the Fischer-Griess monster group
• The friendly giant
• On finite affine 2-arc transitive graphs
• On locally projective graphs of girth 5
• A new construction of the moonshine vertex operator algebra over the real number field
• Griess algebras and conformal vectors in vertex operator algebras
• Primitive axial algebras of Jordan type
• Constructing the Monster amalgam.
• Geometry of sporadic groups. II: Representations and amalgams
• The Axes of a Majorana Representation of $$A_{12}$$
• The 2A-Majorana representations of the Harada-Norton group
• Majorana representation of A6 involving 3C-algebras
• The L_2(11)-subalgebra of the Monster algebra
• The Mathieu Groups
• Majorana representations of L3(2)
• Notes on the K3 Surface and the Mathieu GroupM₂₄
• Construction of 2-closed M-representations
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras
• 3-state Potts model and automorphisms of vertex operator algebras of order 3

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