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Universal algebra of a Hom-Lie algebra and group-like elements
Authors:Camille Laurent-Gengoux  Abdenacer Makhlouf  Joana Teles
Institution:1. Institut Elie Cartan de Lorraine, UMR 7122, Université de Lorraine, 57045 Metz, France;2. Laboratoire de Mathématique, Informatique et Applications, Université de Haute-Alsace, 68093 Mulhouse, France;3. CMUC, Department of Mathematics, University of Coimbra, P-3001-454 Coimbra, Portugal
Abstract:We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure. We discuss group-like elements that we see as a Hom-group integrating the initial Hom-Lie algebra.
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