Generalised dihedral subalgebras from the Monster

DOI10.1090/tran/6866zbMath1454.17020arXiv1510.00640OpenAlexW2962715852MaRDI QIDQ5348728

Felix Rehren

Publication date: 21 August 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00640

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Other nonassociative rings and algebras (17D99) Idempotents, Peirce decompositions (17C27)

Related Items (14)

An infinite-dimensional 2-generated primitive axial algebra of monster type ⋮ 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 ⋮ Variety of Idempotents in Nonassociative Algebras ⋮ From forbidden configurations to a classification of some axial algebras of Monster type ⋮ The universality of one half in commutative nonassociative algebras with identities ⋮ On an extremal property of Jordan algebras of Clifford type ⋮ An expansion algorithm for constructing axial algebras ⋮ Transposition Algebras ⋮ Split spin factor algebras ⋮ Classifying 2-generated symmetric axial algebras of Monster type ⋮ Code algebras which are axial algebras and their \(\mathbb{Z}_2\)-gradings ⋮ Double axes and subalgebras of Monster type in Matsuo algebras

Uses Software

• GAP

Cites Work

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• Universal axial algebras and a theorem of Sakuma
• Jordan algebras and 3-transposition groups
• Majorana representations of the symmetric group of degree 4.
• A simple construction for the Fischer-Griess monster group
• The friendly giant
• Vertex operator algebras generated by two conformal vectors whose \(\tau\)-involutions generate \(S_{3}\).
• Griess algebras and conformal vectors in vertex operator algebras
• Primitive axial algebras of Jordan type
• Vertex algebras, Kac-Moody algebras, and the Monster
• Construction of 2-closed M-representations
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras

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