An infinite-dimensional 2-generated primitive axial algebra of monster type

DOI10.1007/s10231-021-01157-8OpenAlexW3201622731MaRDI QIDQ2143351

Mario Mainardis, Clara Franchi, Sergey V. Shpectorov

Publication date: 31 May 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02430

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) Genetic algebras (17D92) Idempotents, Peirce decompositions (17C27)

Related Items (4)

2-generated axial algebras of Monster type (\(2 \beta,\beta\)) ⋮ On the classification of 2-generated axial algebras of Majorana type ⋮ 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 L3(2)
• On the structure of axial algebras
• Generalised dihedral subalgebras from the Monster
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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