Universal Algebra of a Hom-Lie Algebra and group-like elements

By C. Laurent-Gengoux, Abdenacer Makhlouf, J. Teles. 2015

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/57242b36e71b4ced3a5a53be55e7b006e0c6ec6d