Hom-Algebras and Hom-Coalgebras

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dc.creatorMakhlouf, Abdenacer
dc.creatorSilvestrov, Sergei
dc.date2008-11-04
dc.date2008-11-23
dc.date.accessioned2026-07-07T10:19:53Z
dc.date.available2026-07-07T10:19:53Z
dc.descriptionThe aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Hom-algebras and provide examples. We introduce Hom-coalgebra structures, leading to the notions of Hom-bialgebra and Hom-Hopf algebras and prove some fundamental properties and give examples. Finally, we define the concept of Hom-Lie admissible Hom-coalgebra and provide their classification based on subgroups of the symmetric group.
dc.descriptionPublished in Preprints in Mathematical Sciences, Lund University, Centre for Mathematical Sciences, Centrum Scientiarum Mathematicarum, 2008
dc.identifierhttps://arxiv.org/abs/0811.0400
dc.identifierhttp://arxiv.org/abs/0811.0400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174671
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16W40, 17D25
dc.titleHom-Algebras and Hom-Coalgebras
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