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SUMMARY:Saikat Goswami (Institute for Advancing Intelligence\, India)
DTSTART:20260223T150000Z
DTEND:20260223T160000Z
DTSTAMP:20260423T021118Z
UID:ENAAS/162
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/162/">
 Universal Constructions on Algebras over Operads</a>\nby Saikat Goswami (I
 nstitute for Advancing Intelligence\, India) as part of European Non-Assoc
 iative Algebra Seminar\n\n\nAbstract\nWe construct a universal coacting bi
 algebra and Hopf algebra for any finite-dimensional algebra over a symmetr
 ic operad. This work extends previous constructions of Agore and Militaru 
 to the operadic setting. We show that the category of finite-dimensional a
 lgebras over operads is enriched over the dual of commutative algebras\, w
 hich induces a canonical bialgebra structure on the associated universal c
 oacting algebra. Our framework recovers known constructions for Lie\, Leib
 niz\, and Poisson algebras\, offering a unified operadic perspective on co
 acting objects across a broad class of algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/162/
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