Browsing by Subject "Poisson manifolds"

Now showing items 1-2 of 2

    • Article  

      The modular hierarchy of the Toda lattice 

      Agrotis, Maria A.; Damianou, Pantelis A. (2007)
      The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of ...
    • Conference Object  

      Nilpotent orbits in simple Lie algebras and their transverse Poisson structures 

      Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2008)
      We consider nilpotent adjoint orbits in complex simple Lie algebras and we examine their transverse Poisson structures. We specialize to the two extreme and most interesting cases, i.e. the subregular and minimal orbits. ...