2-generated axial algebras of Monster type (\(2 \beta,\beta\))

DOI10.1016/j.jalgebra.2023.08.020arXiv2101.10379OpenAlexW4386295582MaRDI QIDQ6054765

Mario Mainardis, Sergey V. Shpectorov, Clara Franchi

Publication date: 25 October 2023

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

Full work available at URL: https://arxiv.org/abs/2101.10379

zbMATH Keywords

finite simple groupsGriess algebraMonster groupaxial algebrasMatsuo algebras

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Abstract finite groups (20Dxx) General nonassociative rings (17Axx)

Related Items (2)

Quotients of the Highwater algebra and its cover ⋮ Classifying 2-generated symmetric axial algebras of Monster type

Cites Work

• Universal axial algebras and a theorem of Sakuma
• Majorana representations of the symmetric group of degree 4.
• Classifying 2-generated symmetric axial algebras of Monster type
• An infinite-dimensional 2-generated primitive axial algebra of monster type
• Primitive axial algebras of Jordan type
• On the classification of 2-generated axial algebras of Majorana type
• From forbidden configurations to a classification of some axial algebras of Monster type
• Majorana Representations of Finite Groups
• On the structure of axial algebras
• Generalised dihedral subalgebras from the Monster
• Double axes and subalgebras of Monster type in Matsuo algebras
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