A First Sight Towards Primitively Generated Connected Braided Bialgebras

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dc.creatorArdizzoni, A.
dc.date2008-05-22
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:50:43Z
dc.date.available2026-07-07T12:50:43Z
dc.descriptionThe main aim of this paper is to investigate the structure of primitively generated connected braided bialgebras $A$ with respect to the braided vector space $P$ consisting of their primitive elements. When the Nichols algebra of $P$ is obtained dividing out the tensor algebra $T(P) $ by the two-sided ideal generated by its primitive elements of degree at least two, we show that $A$ can be recovered as a sort of universal enveloping algebra of $P$. One of the main applications of our construction is the description, in terms of universal enveloping algebras, of connected braided bialgebras whose associated graded coalgebra is a quadratic algebra.
dc.identifierhttps://arxiv.org/abs/0805.3391
dc.identifierhttp://arxiv.org/abs/0805.3391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222764
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30; 16S30
dc.titleA First Sight Towards Primitively Generated Connected Braided Bialgebras
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