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SUMMARY:Abdenacer Makhlouf (University of Haute Alsace\, France)
DTSTART:20260427T150000Z
DTEND:20260427T160000Z
DTSTAMP:20260423T034447Z
UID:ENAAS/171
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/171/">
 Jacobi-Jordan (Conformal) algebras: Basics\, Constructions\, Cohomology an
 d Deformations</a>\nby Abdenacer Makhlouf (University of Haute Alsace\, Fr
 ance) as part of European Non-Associative Algebra Seminar\n\nInteractive l
 ivestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nThe aim of th
 is talk is to provide an overview of recent developments on Jacobi-Jordan 
 algebras and  Jacobi-Jordan conformal algebras. We provide for Jacobi-Jord
 an algebras some basic constructions and define a cohomology based on two 
 operators\, called zigzag cohomology. We describe the relationships betwee
 n first and second cohomology groups with extensions and deformations. Mor
 eover\, we consider cohomology properties of pseudo-euclidean Jacobi-Jorda
 n algebras and provide a deformation theory that fits with our zigzag coho
 mology of Jacobi-Jordan algebras. Furtheremore\, we introduce Jacobi-Jorda
 n Conformal algebras and consider some related structures such as conforma
 l modules\, corresponding representations and O-operators. The talk is bas
 ed on joint works with A. Baklouti \, S. Benayadi\, S. Mansour\, T. Chtiou
 i and S. Mabrouk.\n
LOCATION:https://researchseminars.org/talk/ENAAS/171/
URL:https://us02web.zoom.us/j/7803181064
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