Primitive axial algebras are of Jordan type

DOI10.1016/j.jpaa.2022.107206OpenAlexW3215649859MaRDI QIDQ2079633

Louis Halle Rowen, Yoav Segev

Publication date: 30 September 2022

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

Full work available at URL: https://arxiv.org/abs/2111.14164

zbMATH Keywords

idempotentfusionaxial algebraaxis

Mathematics Subject Classification ID

Power-associative rings (17A05) Noncommutative Jordan algebras (17A15) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Flexible algebras (17A20) Idempotents, Peirce decompositions (17C27)

Related Items (2)

Axes of Jordan type in non-commutative algebras ⋮ Structure of primitive axial algebras

Cites Work

• Unnamed Item
• Universal axial algebras and a theorem of Sakuma
• A simple construction for the Fischer-Griess monster group
• Decomposition algebras and axial algebras
• Primitive axial algebras of Jordan type
• Axes in non-associative algebras

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