205 citations · 285 across the 21 of their papers we have counts for
6 papers · 1 filter
Multiplicativity, from Lie groups to generalized geometry
Yvette Kosmann-Schwarzbach
We survey the concept of multiplicativity from its initial appearance in the theory of Poisson-Lie groups to the far-reaching generalizations, for multivectors and differential for…
Poisson and symplectic functions in Lie algebroid theory
Yvette Kosmann-Schwarzbach
Emphasizing the role of Gerstenhaber algebras and of higher derived brackets in the theory of Lie algebroids, we show that the several Lie algebroid brackets which have been introd…
Modular classes of regular twisted Poisson structures on Lie algebroids
Yvette Kosmann-Schwarzbach, Milen Yakimov
We derive a formula for the the modular class of a Lie algebroid with a regular twisted Poisson structure in terms of a canonical Lie algebroid representation of the image of the P…
On the modular classes of Poisson-Nijenhuis manifolds
Yvette Kosmann-Schwarzbach, Franco Magri
We prove a property of the Poisson-Nijenhuis manifolds which yields new proofs of the bihamiltonian properties of the hierarchy of modular vector fields defined by Damianou and Fer…
The modular class of a twisted Poisson structure
Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux
We study the geometric and algebraic properties of the twisted Poisson structures on Lie algebroids, leading to a definition of their modular class and to an explicit determination…
Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory
Yvette Kosmann-Schwarzbach
Motivated by questions from quantum group and field theories, we review structures on manifolds that are weaker versions of Poisson structures, and variants of the notion of Lie al…