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SUMMARY:Universal Constructions on Algebras over Operads
DTSTART:20260210T130000Z
DTEND:20260210T140000Z
DTSTAMP:20260312T161600Z
UID:indico-event-15975@indico.math.cnrs.fr
DESCRIPTION:Speakers: Saikat Goswami (TCG Crest)\n\nWe construct a univers
 al coacting bialgebra and Hopf algebra for any finite-dimensional algebra 
 over a symmetric operad. This work extends previous constructions of Agore
  and Militaru to the operadic setting. We show that the category of finite
 -dimensional algebras over operads is enriched over the dual of commutativ
 e algebras\, which induces a canonical bialgebra structure on the associat
 ed universal coacting algebra. Our framework recovers known constructions 
 for Lie\, Leibniz\, and Poisson algebras\, offering a unified operadic per
 spective on coacting objects across a broad class of algebras.\n\nhttps://
 indico.math.cnrs.fr/event/15975/
LOCATION:IMT 1R2 207 (Salle Pellos)
URL:https://indico.math.cnrs.fr/event/15975/
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