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math.QA2021★ 2 cited
Convolution bialgebra of a Lie groupoid and transversal distributions
J. Kalisnik, J. Mrcun
For a Lie groupoid G over a smooth manifold M we construct the adjoint action of the etale Lie groupoid G# of germs of local bisections of G on the Lie algebroid g of G. With this…
math.QA2010
A Cartier-Gabriel-Kostant structure theorem for Hopf algebroids
J. Kalisnik, J. Mrcun
In this paper we give an extension of the Cartier-Gabriel-Kostant structure theorem to Hopf algebroids.
math.QA2007
Equivalence between the Morita categories of etale Lie groupoids and of locally grouplike Hopf algebroids
J. Kalisnik, J. Mrcun
Any etale Lie groupoid G is completely determined by its associated convolution algebra C_c(G) equipped with the natural Hopf algebroid structure. We extend this result to the gene…