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SUMMARY:Alberto Elduque (University of Zaragoza\, Spain)
DTSTART:20230109T150000Z
DTEND:20230109T160000Z
DTSTAMP:20260423T021124Z
UID:ENAAS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/1/">Te
 nsor categories\, algebras\, and superalgebras</a>\nby Alberto Elduque (Un
 iversity of Zaragoza\, Spain) as part of European Non-Associative Algebra 
 Seminar\n\n\nAbstract\nAfter reviewing the basic definitions of tensor cat
 egories and the notion of semisimplification of symmetric tensor categorie
 s\, it will be shown how the semisimplification of the category of represe
 ntations of the cyclic group of order 3 over a field of characteristic 3 i
 s naturally equivalent to the category of vector superspaces over this fie
 ld. This allows to define a superalgebra starting with any algebra endowed
  with an order 3 automorphism. As a noteworthy example\, the exceptional c
 omposition superalgebras will be obtained\, in a systematic way\, from the
  split octonion algebra.\n
LOCATION:https://researchseminars.org/talk/ENAAS/1/
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