Geodesic
Searching for groups related to pseudo-composition algebras
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 526-539

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We study the class of idempotent-generated pseudo-composition algebras, which is a subclass of the family of axial algebras. More specifically, we utilise the group-algebra correspondence, natural to the axial framework in order to study some automorphism subgroups of such pseudo-composition algebras.
Keywords: axial algebra, Miyamoto involution
Mots-clés : pseudo-composition algebra, automorphism group. 
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     author = {V. A. Afanasev},
     title = {Searching for groups related to pseudo-composition algebras},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a0/}
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V. A. Afanasev. Searching for groups related to pseudo-composition algebras. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 526-539. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a0/