Enumerating 3-generated axial algebras of Monster type

DOI10.1016/J.JPAA.2021.106816zbMath1482.17012arXiv1809.10657OpenAlexW3175834999MaRDI QIDQ1979291

S. M. S. Khasraw, Sergey V. Shpectorov, Justin F. McInroy

Publication date: 2 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10657

zbMATH Keywords

3-generated axial algebras of Monster type

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Structure theory for nonassociative algebras (17A60) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (2)

Saturated Majorana representations of 𝐴₁₂ ⋮ From forbidden configurations to a classification of some axial algebras of Monster type

Uses Software

• AxialAlgebras
• Unnamed Item

Cites Work

• Unnamed Item
• Universal axial algebras and a theorem of Sakuma
• Majorana representations of the symmetric group of degree 4.
• The Magma algebra system. I: The user language
• Minimal 3-generated Majorana algebras
• Decomposition algebras and axial algebras
• The universality of one half in commutative nonassociative algebras with identities
• An expansion algorithm for constructing axial algebras
• Primitive axial algebras of Jordan type
• An infinite family of axial algebras
• From forbidden configurations to a classification of some axial algebras of Monster type
• Majorana representations of L3(2)
• Majorana Representations of Finite Groups
• On the structure of axial algebras

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