24 citations · 25 across the 3 of their papers we have counts for
4 papers · 1 filter
Relative modular classes of Lie algebroids
Yvette Kosmann-Schwarzbach, Alan Weinstein
We study the relative modular classes of Lie algebroids, and we determine their relationship with the modular classes of Lie algebroids with a twisted Poisson structure.
Differential operators and actions of Lie algebroids
Y. Kosmann-Schwarzbach, K. C. H. Mackenzie
We demonstrate that the notions of derivative representation of a Lie algebra on a vector bundle, of semi-linear representations of a Lie group on a vector bundle, and related conc…
Quasi-Poisson Manifolds
Anton Alekseev, Yvette Kosmann-Schwarzbach, Eckhard Meinrenken
A quasi-Poisson manifold is a G-manifold equipped with an invariant bivector field whose Schouten bracket is the trivector field generated by the invariant element in $\wedge^3 \g$…
Manin pairs and moment maps
Anton Alekseev, Yvette Kosmann-Schwarzbach
A Lie group G in a group pair (D,G), integrating a Lie algebra g in a Manin pair (d,g) has a quasi-Poisson structure. We define the quasi-Poisson actions of such Lie groups G, that…