7 citations · 8 across the 3 of their papers we have counts for
Showing dg-gaShow all
3 papers · 1 filter
dg-ga1997
Double Lie algebroids and second-order geometry, II
Kirill C. H. Mackenzie
We complete the construction of the double Lie algebroid of a double Lie groupoid begun in the first paper of this title. We show that the Lie algebroid structure of an LA--groupoi…
dg-ga1997
Integration of Lie bialgebroids
Kirill C. H. Mackenzie, Ping Xu
We prove that under certain mild assumptions a Lie bialgebroid integrates to a Poisson groupoid. This includes, in particular, a new proof of the existence of local symplectic grou…
dg-ga1997
Classical lifting processes and multiplicative vector fields
Kirill Mackenzie, Ping Xu
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 inc…