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SUMMARY:Ilya Gorshkov (Sobolev Institute of Mathematics\, Russia)
DTSTART:20240226T150000Z
DTEND:20240226T160000Z
DTSTAMP:20260423T035735Z
UID:ENAAS/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/58/">P
 seudo-composition algebras as axial algebras</a>\nby Ilya Gorshkov (Sobole
 v Institute of Mathematics\, Russia) as part of European Non-Associative A
 lgebra Seminar\n\n\nAbstract\nWe show that pseudo-composition algebras and
  train algebras of rank 3 generated by idempotents are characterized as ax
 ial algebras with fusion laws derived from the Peirce decompositions of id
 empotents in these classes of algebras. The corresponding axial algebras a
 re called PC(η)-axial algebras\, where η is an element of the ground fie
 ld. As a first step towards their classification\, we describe 2− and 3-
 generated subalgebras of such algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/58/
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