Classical lifting processes and multiplicative vector fields ∗

  • KIRILL C. H. MACKENZIE, X B Ping
  • Published 1997
We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid… CONTINUE READING