Miyamoto involutions in axial algebras of Jordan type half

DOI10.1007/S11856-017-1615-7zbMath1432.17032arXiv1610.01307OpenAlexW2529190546MaRDI QIDQ1709735

Jonathan I. Hall, Yoav Segev, Sergey V. Shpectorov

Publication date: 6 April 2018

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01307

zbMATH Keywords

Axial algebras of Jordan type eta

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Jordan structures associated with other structures (17C50)

Related Items (19)

Axes of Jordan type in non-commutative algebras ⋮ Axes in non-associative algebras ⋮ Structure of primitive axial algebras ⋮ On primitive 3-generated axial algebras of Jordan type ⋮ Associative and Jordan algebras generated by two idempotents ⋮ Primitive 4-generated axial algebras of Jordan type ⋮ From forbidden configurations to a classification of some axial algebras of Monster type ⋮ The universality of one half in commutative nonassociative algebras with identities ⋮ Jordan algebras and 3-transposition groups ⋮ On an extremal property of Jordan algebras of Clifford type ⋮ Half-axes in power associative algebras ⋮ A characterization of algebras generated by idempotents ⋮ Spectral properties of nonassociative algebras and breaking regularity for nonlinear elliptic type PDEs ⋮ On the structure of axial algebras ⋮ Modules over axial algebras ⋮ The spectra of finite 3-transposition groups ⋮ Transposition Algebras ⋮ Code algebras which are axial algebras and their \(\mathbb{Z}_2\)-gradings ⋮ Double axes and subalgebras of Monster type in Matsuo algebras

Cites Work

• Universal axial algebras and a theorem of Sakuma
• A simple construction for the Fischer-Griess monster group
• A taste of Jordan algebras
• The \(3\)-transposition groups with trivial center
• Griess algebras and conformal vectors in vertex operator algebras
• Primitive axial algebras of Jordan type
• Vertex algebras, Kac-Moody algebras, and the Monster
• Some 3-Transposition Groups with Normal 2-Subgroups
• Graphs, Geometry, 3-Transpositions, and Symplectic F ₂ -Transvection Groups
• Presentations of some 3-transposition groups
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