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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages 526–539
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.038 (Mi semr1701) 		 
Mathematical logic, algebra and number theory

Searching for groups related to pseudo-composition algebras

V. A. Afanasev

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
Full-text PDF (422 kB)
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.038
Abstract: 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: pseudo-composition algebra, axial algebra, Miyamoto involution, automorphism group.
Funding agency Grant number
Russian Science Foundation 23-41-10003
This work was supported by the Russian Science Foundation, project 23-41-10003, https://rscf.ru/en/project/23-41-10003/.
Received October 11, 2023, published August 23, 2024
Document Type: Article
UDC: 512.54, 512.554
MSC: 17A36
Language: English
Citation: V. A. Afanasev, “Searching for groups related to pseudo-composition algebras”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 526–539
Citation in format AMSBIB
\Bibitem{Afa24}
\by V.~A.~Afanasev
\paper Searching for groups related to pseudo-composition algebras
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 2
\pages 526--539
\mathnet{http://mi.mathnet.ru/semr1701}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.038}
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