Universal enveloping algebras of Lie-Rinehart algebras as a left adjoint functor
DOI10.1007/s00009-022-01985-9OpenAlexW3126783871MaRDI QIDQ2117382
Publication date: 21 March 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01553
universal enveloping algebrasadjoint functorsLie-Rinehart algebrasuniversal propertiesAtiyah algebraConnes-Moscovici bialgebroidanchored Lie algebras
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Universal enveloping (super)algebras (17B35) Lie algebras of vector fields and related (super) algebras (17B66) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Nonassociative algebras satisfying other identities (17A30)
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