42 citations · 74 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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.
On the universal enveloping algebra of a Lie-Rinehart algebra
I. Moerdijk, J. Mrcun
We review the extent to which the universal enveloping algebra of a Lie-Rinehart algebra resembles a Hopf algebra, and refer to this structure as a Rinehart bialgebra. We then prov…
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…
On spectral representation of coalgebras and Hopf algebroids
Janez Mrcun
In this paper we establish a duality between etale Lie groupoids and a class of non-necessarily commutative algebras with a Hopf algebroid structure. For any etale Lie groupoid G o…