Quotients of the Highwater algebra and its cover

DOI10.1016/j.jalgebra.2023.11.009arXiv2205.02200OpenAlexW4388686841MaRDI QIDQ6183587

Mario Mainardis, Justin F. McInroy, Clara Franchi

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2205.02200

zbMATH Keywords

finite simple groupsJordan algebrasMonster groupaxial algebrasBaric algebras

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Idempotents, Peirce decompositions (17C27) Other nonassociative rings and algebras (17Dxx)

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 \(S_{3}\).
• Split spin factor algebras
• Classifying 2-generated symmetric axial algebras of Monster type
• An infinite-dimensional 2-generated primitive axial algebra of monster type
• Decomposition algebras and axial algebras
• 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
• 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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