Toward differentiation and integration between Hopf algebroids and Lie algebroids

DOI10.5565/PUBLMAT6712301MaRDI QIDQ2687293

Alessandro Ardizzoni, Paolo Saracco, Laiachi El Kaoutit

Publication date: 2 March 2023

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10288

zbMATH Keywords

Lie algebroidsLie groupoidsLie-Rinehart algebrasTannaka reconstructiondifferentiation and integrationKähler modulefinite dual(co)commutative Hopf algebroidsaffine groupoid schemesMalgrange groupoids

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Topological groupoids (including differentiable and Lie groupoids) (22A22) General properties and structure of other Lie groups (22E20) Associated Lie structures for groups (20F40) Universal enveloping algebras of Lie algebras (16S30) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Coalgebras and comodules; corings (16T15) Affine algebraic groups, hyperalgebra constructions (14L17)

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