Classifying 2-generated symmetric axial algebras of Monster type

DOI10.1016/j.jalgebra.2022.01.004OpenAlexW4206278068MaRDI QIDQ2075242

Mario Mainardis, Clara Franchi

Publication date: 14 February 2022

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

Full work available at URL: https://arxiv.org/abs/2101.09506

zbMATH Keywords

finite simple groupsJordan algebrasMonster groupaxial algebrasbaric algebras

Mathematics Subject Classification ID

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

Related Items (3)

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

Cites Work

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• Majorana representations of the symmetric group of degree 4.
• Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\).
• Primitive axial algebras of Jordan type
• On the classification of 2-generated axial algebras of Majorana type
• Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs
• Generalised dihedral subalgebras from the Monster
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras
• Double axes and subalgebras of Monster type in Matsuo algebras
• 2-generated axial algebras of Monster type (\(2 \beta,\beta\))

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