The universal Hopf algebra associated with a Hopf-Lie-Rinehart algebra
Johannes Huebschmann (U Lille 1)
TL;DR
This paper introduces Hopf-Lie-Rinehart algebras and demonstrates that their universal algebra naturally forms a Hopf algebra, bridging Lie-Rinehart structures with Hopf algebra theory.
Contribution
It defines Hopf-Lie-Rinehart algebras and proves that their universal algebra has a Hopf algebra structure, a novel connection in algebraic theory.
Findings
Universal algebra of a Hopf-Lie-Rinehart algebra is a Hopf algebra
Establishes a new link between Lie-Rinehart and Hopf algebra structures
Provides foundational framework for further algebraic research
Abstract
We introduce a notion of Hopf-Lie-Rinehart algebra and show that the universal algebra of a Hopf-Lie-Rinehart algebra acquires an ordinary Hopf algebra structure.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology