BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Amir Fernández Ouaridi (University of Coimbra\, Portugal)
DTSTART:20231204T150000Z
DTEND:20231204T160000Z
DTSTAMP:20260423T035420Z
UID:ENAAS/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/49/">O
 n the simple transposed Poisson algebras and Jordan superalgebras</a>\nby 
 Amir Fernández Ouaridi (University of Coimbra\, Portugal) as part of Euro
 pean Non-Associative Algebra Seminar\n\n\nAbstract\nWe prove that a transp
 osed Poisson algebra is simple if and only if its associated Lie bracket i
 s simple. Consequently\, any simple finite-dimensional transposed Poisson 
 algebra over an algebraically closed field of characteristic zero is trivi
 al. Similar results are obtained for transposed Poisson superalgebras. An 
 example of a non-trivial simple finite-dimensional transposed Poisson alge
 bra is constructed by studying the transposed Poisson structures on the mo
 dular Witt algebra. Furthermore\, we show that the Kantor double of a tran
 sposed Poisson algebra is a Jordan superalgebra\, that is\, we prove that 
 transposed Poisson algebras are Jordan brackets.  Additionally\, a simplic
 ity criterion for the Kantor double of a transposed Poisson algebra is obt
 ained.\n
LOCATION:https://researchseminars.org/talk/ENAAS/49/
END:VEVENT
END:VCALENDAR