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SUMMARY:Abdenacer Makhlouf (University of Haute Alsace\, France)
DTSTART:20260427T150000Z
DTEND:20260427T160000Z
DTSTAMP:20260513T133431Z
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\n\nAbstract\nT
 he aim of this talk is to provide an overview of recent developments on Ja
 cobi-Jordan algebras and  Jacobi-Jordan conformal algebras. We provide for
  Jacobi-Jordan algebras some basic constructions and define a cohomology b
 ased on two operators\, called zigzag cohomology. We describe the relation
 ships between first and second cohomology groups with extensions and defor
 mations. Moreover\, we consider cohomology properties of pseudo-euclidean 
 Jacobi-Jordan algebras and provide a deformation theory that fits with our
  zigzag cohomology of Jacobi-Jordan algebras. Furtheremore\, we introduce 
 Jacobi-Jordan Conformal algebras and consider some related structures such
  as conformal modules\, corresponding representations and O-operators. The
  talk is based on joint works with A. Baklouti \, S. Benayadi\, S. Mansour
 \, T. Chtioui and S. Mabrouk.\n
LOCATION:https://researchseminars.org/talk/ENAAS/171/
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