Lie theory for Hopf operads

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dc.creatorLivernet, Muriel
dc.creatorPatras, Frederic
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:17:16Z
dc.date.available2026-07-07T07:17:16Z
dc.descriptionThe present article takes advantage of the properties of algebras in the category of S-modules (twisted algebras) to investigate further the fine algebraic structure of Hopf operads. We prove that any Hopf operad P carries naturally the structure of twisted Hopf P-algebra. Many properties of classical Hopf algebraic structures are then shown to be encapsulated in the twisted Hopf algebraic structure of the corresponding Hopf operad. In particular, various classical theorems of Lie theory relating Lie polynomials to words (i.e. elements of the tensor algebra) are lifted to arbitrary Hopf operads.
dc.description23 pages. Using xyPic
dc.identifierhttps://arxiv.org/abs/math/0606329
dc.identifierhttp://arxiv.org/abs/math/0606329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113879
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject18D50: 16W30: 17A30: 17B63
dc.titleLie theory for Hopf operads
dc.typetext

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