Majorana representations of L3(2)
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Publication:4910053
DOI10.1515/advgeom-2012-0018zbMath1264.20016OpenAlexW2315334072MaRDI QIDQ4910053
Sergey V. Shpectorov, Alexander A. Ivanov
Publication date: 25 March 2013
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/advgeom-2012-0018
Griess algebra\(2A\)-involutionsConway-Griess-Norton algebraMajorana representationsMonster groupsimple group \(L_3(2)\)
Simple groups: sporadic groups (20D08) Vertex operators; vertex operator algebras and related structures (17B69) Representations of sporadic groups (20C34) Representations of finite groups of Lie type (20C33)
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An infinite-dimensional 2-generated primitive axial algebra of monster type ⋮ Standard Majorana representations of the symmetric groups ⋮ Saturated Majorana representations of 𝐴₁₂ ⋮ Majorana representations of \(A_5\). ⋮ Associative subalgebras of low-dimensional Majorana algebras ⋮ Majorana representation of the Monster group ⋮ Enumerating 3-generated axial algebras of Monster type ⋮ The Axes of a Majorana Representation of $$A_{12}$$ ⋮ Closed Majorana representations of \(\{3, 4\}^+\)-transposition groups ⋮ Majorana algebra for the Hoffman-Singleton graph ⋮ Double axes and subalgebras of Monster type in Matsuo algebras ⋮ Majorana representation of A6 involving 3C-algebras
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