Convolution bialgebra of a Lie groupoid and transversal distributions

DOI10.1016/j.geomphys.2022.104642OpenAlexW4292166947WikidataQ114173305 ScholiaQ114173305MaRDI QIDQ2169864

J. Kališnik, Janez Mrčun

Publication date: 30 August 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13093

zbMATH Keywords

Lie groupoiduniversal enveloping algebraLie algebroidconvolution algebratransversal distribution

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Topological groupoids (including differentiable and Lie groupoids) (22A22) Hopf algebras and their applications (16T05)

Related Items

Reflexivity of the space of transversal distributions ⋮ Locally convex bialgebroid of an action Lie groupoid

Cites Work

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• The cyclic theory of Hopf algebroids.
• On duality between étale groupoids and Hopf algebroids
• The Kostant structure theorems for K/k-Hopf algebras
• Groups of simple algebras
• Groups of algebras over \(A\otimes \bar A\)
• Pseudodifferential operators on differential groupoids
• A Cartier-Gabriel-Kostant structure theorem for Hopf algebroids.
• About the convolution of distributions on groupoids
• A groupoid approach to pseudodifferential calculi
• Sheaf coalgebras and duality.
• Hopf Algebroids
• Differential Formal Groups of J. F. Ritt
• Quantum groupoids and deformation quantization
• Groupoïdes quantiques
• HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
• On the universal enveloping algebra of a Lie algebroid
• A homology theory for étale groupoids
• Differential Forms on General Commutative Algebras
• The Hopf algebroids of functions on étale groupoids and their principal Morita equivalence