230 citations · 391 across the 17 of their papers we have counts for
Showing 1998 · math.DGShow all
3 papers · 2 filters
math.DG1998★ 6 cited
Description of infinite dimensional abelian regular Lie groups
Peter W. Michor, Josef Teichmann
It is shown that every abelian regular Lie group is a quotient of its Lie algebra via the exponential mapping.
math.DG1998★ 34 cited
Poisson structures on double Lie groups
D. Alekseevsky, J. Grabowski, G. Marmo +1
Lie bialgebra structures are reviewed and investigated in terms of the double Lie algebra, of Manin- and Gauß-decompositions. The standard R-matrix in a Manin decomposition then gi…
math.DG1998★ 37 cited
Regular infinite dimensional Lie groups
Andreas Kriegl, Peter W. Michor
Regular Lie groups are infinite dimensional Lie groups with the property that smooth curves in the Lie algebra integrate to smooth curves in the group in a smooth way (an `evolutio…