BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elduque Alberto (University of Zaragoza\, Spain) DTSTART:20230831T131500Z DTEND:20230831T135500Z DTSTAMP:20260423T004757Z UID:RLRT23/3 DESCRIPTION:Title: T ensor categories\, algebras\, and superalgebras\nby Elduque Alberto (U niversity of Zaragoza\, Spain) as part of Representations of Lie Superalge bras and Related Topics\n\n\nAbstract\nAfter reviewing the basic definitio ns of tensor categories and the notion of semisimplification of symmetric tensor categories\, it will be shown how the semisimplification of the cat egory of representations of the cyclic group of order 3 over a field of ch aracteristic 3 is naturally equivalent to the category of vector superspac es over this field. This allows to define a superalgebra starting with any algebra endowed with an order 3 automorphism.As a noteworthy example\, th e exceptional composition superalgebras will be obtained\, in a systematic way\, from the split octonion algebra\, and all the Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3\, which are spec ific of this characteristic\, will be obtained from the exceptional simple Lie algebra of type E8.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/3/ END:VEVENT END:VCALENDAR