On the classification of 2-generated axial algebras of Majorana type

DOI10.1016/J.JALGEBRA.2022.12.014OpenAlexW4313531366MaRDI QIDQ2682820

Takahiro Yabe

Publication date: 1 February 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01871

zbMATH Keywords

Griess algebraaxial algebraMajorana algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (4)

2-generated axial algebras of Monster type (\(2 \beta,\beta\)) ⋮ Quotients of the Highwater algebra and its cover ⋮ From forbidden configurations to a classification of some axial algebras of Monster type ⋮ Classifying 2-generated symmetric axial algebras of Monster type

Cites Work

• Unnamed Item
• Universal axial algebras and a theorem of Sakuma
• Majorana representations of the symmetric group of degree 4.
• A simple construction for the Fischer-Griess monster group
• Griess algebras and conformal vectors in vertex operator algebras
• An infinite-dimensional 2-generated primitive axial algebra of monster type
• Primitive axial algebras of Jordan type
• 3-transposition groups of symplectic type and vertex operator algebras
• Generalised dihedral subalgebras from the Monster
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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