An expansion algorithm for constructing axial algebras

DOI10.1016/j.jalgebra.2019.12.018zbMath1479.17053arXiv1804.00587OpenAlexW2796216674WikidataQ126317977 ScholiaQ126317977MaRDI QIDQ2295394

Justin F. McInroy, Sergey V. Shpectorov

Publication date: 13 February 2020

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

Full work available at URL: https://arxiv.org/abs/1804.00587

zbMATH Keywords

axial algebrasMiyamoto group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (7)

Saturated Majorana representations of 𝐴₁₂ ⋮ From forbidden configurations to a classification of some axial algebras of Monster type ⋮ Enumerating 3-generated axial algebras of Monster type ⋮ On the structure of axial algebras ⋮ AxialAlgebras ⋮ Majorana algebra for the Hoffman-Singleton graph ⋮ Double axes and subalgebras of Monster type in Matsuo algebras

Uses Software

• Magma
• MajoranaAlgebras

Cites Work

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• 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
• The friendly giant
• The Magma algebra system. I: The user language
• Griess algebras and conformal vectors in vertex operator algebras
• Primitive axial algebras of Jordan type
• An infinite family of axial algebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• Construction of 2-closed M-representations
• Generalised dihedral subalgebras from the Monster
• On primitive axial algebras of Jordan type
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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